Number and algebra · SL 1.1
Standard Form - How to Multiply and Divide Numbers written in Standard Form part 1 of 2
Multiply and divide numbers written in standard form.
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Number and algebra · SL 1.1
Standard Form - how to write a number in standard form - positive numbers
Write positive numbers in standard form and interpret powers of ten.
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Number and algebra · SL 1.3
Geometric Sequences & Progressions, Common Ratio, Formula for nth Term, Recursive Formula
Identify a common ratio and use explicit and recursive formulas for geometric sequences.
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Number and algebra · SL 1.3
Geometric Sequences, How to Find the First Term Greater Than 1000, with Calculator or Logarithms
Find the first term above a threshold using either a calculator or logarithms.
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Number and algebra · SL 1.3
Geometric Sequences: A BETTER nth-Term Formula | IB Maths AA & AI
Use a flexible nth-term formula to move directly between known terms of a geometric sequence.
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Number and algebra · SL 1.3
Geometric Series, Sum of First n terms of a Geometric Sequence, Formula, Lesson and Examples
Find the sum of the first n terms of a geometric sequence.
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Number and algebra · SL 1.4
Compound Interest Formula - Compounded Annually and Monthly - IB AI & AA Maths
Apply compound interest with annual and monthly compounding.
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Number and algebra · SL 1.8
Converging Geometric Series and the Infinite Sum of a Geometric Sequence | Full Lesson
Check convergence and calculate the sum to infinity of a geometric series.
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Number and algebra · SL 1.9
Binomial Coefficients - nCr - TI NSpire CX - How to Calculate
Calculate binomial coefficients with nCr on the TI-Nspire CX.
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Number and algebra · SL 1.9
Binomial Coefficients - Shortcuts - Important Result - Binomial Expansions - Binomial Theorem
Use symmetry and shortcuts for binomial coefficients.
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Number and algebra · SL 1.9
Binomial Coefficients for Binomial Expansions - Part 1 of 2
Calculate and interpret binomial coefficients.
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Number and algebra · SL 1.9
Binomial Theorem - Binomial Expansions - Example 1
Apply the binomial theorem in a worked expansion.
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Number and algebra · SL 1.9
Binomial Theorem - What Power n for a Constant Term - IB AA HL Mathematics - Exam Question
Find an unknown exponent from a constant-term condition in an AA HL question.
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Number and algebra · SL 1.9
Binomial Theorem | 2 Binomials Being Multiplied | Product of Two Binomials | Exam Question
Combine two binomial expansions in an AA HL exam-style question.
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Number and algebra · SL 1.9
Binomial Theorem | Exam Question | Binomial Multiplied by a Power of X
Find a specified term when a binomial expansion is multiplied by a power of x.
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Number and algebra · SL 1.9
Pascal’s Triangle - How to Draw it ?!
Construct Pascal’s triangle to find binomial coefficients.
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Number and algebra · SL 1.9
Pascal’s Triangle - How to use it for Binomial Theorem
Use Pascal’s triangle when expanding a binomial.
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Functions · SL 2.1
Find the Equation of a Line | Point-Slope Form | IB Maths
Find a line equation using a known point and gradient.
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Functions · SL 2.1
How to Draw a Line from its Equation in Slope Intercept Form
Draw a straight line using its gradient and y-intercept.
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Functions · SL 2.1
How to Find a Line Equation Given 2 Points - Slope Intercept Form - Coordinate Geometry
Find the equation of a straight line through two given points.
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Functions · SL 2.1
Standard Form of a Line Equation What I Need to Know
Understand and use the standard form of a straight-line equation.
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Functions · SL 2.3
TI-Nspire CX: Graphs, Tables & Domain Restrictions | IB Maths Part 1
Use the TI-Nspire CX to graph functions, restrict a domain and work with tables of values.
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Functions · SL 2.5
Composite Function - Evaluate f(g(2)) and Find Expression for f(g(x)) - 2 Methods
Evaluating a numerical input and finding an expression, using two methods.
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Functions · SL 2.5
Composite Function Exam Question - Unknown Function - Hidden Quadratic - IB AA SL & HL Mathematics
An unknown function, two possible answers and a hidden quadratic.
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Functions · SL 2.5
Composite Functions - How to Write and Find an Expression for a Composite Function
Several examples of replacing each input in the outer function.
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Functions · SL 2.5
How to Draw the Inverse Function Using the Graph of y = f(x) - What To Know - Worked Example
Swap marked points and intercepts, then reflect across y = x.
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Functions · SL 2.5
How to Sketch, or Draw, the Inverse Function of a Rational Function by Swapping the Asymptotes
Three worked examples combining graphical and algebraic methods.
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Functions · SL 2.5
Inverse Function - Finding Expression, Curve, Graph, Domain and Range - IB & IGCSE Mathematics
Meaning, algebra, graphs and domain/range; a complete revision lesson.
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Functions · SL 2.5
Inverse Function How to find an expression for a function’s inverse function, Worked Examples
Practise the swap-and-rearrange method with several functions.
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Functions · SL 2.5
Inverse Function of a Quadratic Function, Choosing Between Plus or Minus ±, Example and Explanation
Complete the square, then use the required range to select one branch.
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Functions · SL 2.5
Inverse Function, Find Expression, Sketch Curve, State Domain and Range
A full lesson connecting all four features; useful after this example.
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Functions · SL 2.5
Self Inverse Functions Definition and Worked Example
The definition, graphical meaning and two methods of verification.
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Functions · SL 2.11
Functions - How to Reflect Curves Across the X Axis and the Y Axis - Formula and Examples
Compare reflections across the x-axis and y-axis.
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Functions · SL 2.11
Functions : Horizontal Translations - Horizontal Shift - y = f(x - c) Examples and Explanation
Translate graphs horizontally by changing the input.
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Functions · SL 2.11
Functions, How to List, in Order, the Transformations for a Parabola using the Vertex Form
List a sequence of transformations from a parent parabola.
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Functions · SL 2.11
Transformations of Functions’ Curves - Vertical Translations - Vertical Shifts
Translate a graph by adding to or subtracting from its output.
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Functions · SL 2.11
Transforming Functions Graphs - Horizontal Stretch - Scale Factor 1/a - Examples - Detailed Lesson
Use the reciprocal input multiplier as the horizontal scale factor.
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Functions · SL 2.11
Transforming Functions Graphs - Vertical Stretch - Scale Factor - How to Stretch a Curve Vertically
Apply a vertical scale factor to every output and track the key points.
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Statistics and probability · SL 4.2
Cumulative Frequency Diagram, Median, Lower & Upper Quartile, Interquartile Range, Percentile
Read cumulative-frequency diagrams to find the median, quartiles, interquartile range and percentiles.
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Statistics and probability · SL 4.2
How to a Make Frequency Density Histogram From a Grouped Frequency Table - Unequal Class Widths
Optional extension: calculate frequency density and draw histograms with unequal class widths.
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Statistics and probability · SL 4.2; SL 4.3
Mean, Median, Lower Quartile, Upper Quartile TI NSpire CX
Use one-variable statistics on the TI-Nspire CX to find the mean, median and quartiles from a list of data.
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Statistics and probability · SL 4.2; SL 4.3
TI Nspire CX - Frequency Tables, Mean, Median, Mode, Lower & Upper Quartile, IQR, Box Plot
Use a frequency table on the TI-Nspire CX to investigate measures of centre and spread, quartiles, the interquartile range and a box plot.
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Statistics and probability · SL 4.2
Types of Data Used in Statistics - Qualitative - Quantitative - Discrete - Continuous
Distinguish qualitative and quantitative data, including discrete and continuous variables.
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Statistics and probability · SL 4.7; AHL 4.14
Distribution Tables and Bar Charts for Discrete Random Variables
Represent a discrete random variable with a probability distribution table and a bar chart.
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Statistics and probability · SL 4.7; AHL 4.14
Mean & Mode of a Discrete Random Variable
Find and interpret the mean (expected value) and mode of a discrete random variable.
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Statistics and probability · SL 4.9
Inverse Normal Distributions - How it all Works
Use a known probability to find an unknown boundary with inverse normal calculations.
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Statistics and probability · SL 4.9
Normal Distribution - Bell Curve, Areas, Probabilities, PDF, CDF, How it All Works
Connect the normal bell curve with shaded areas, probabilities, the probability density function and the cumulative distribution function.
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Statistics and probability · SL 4.9
Normal Distribution Question - IB AI & AA SL Math - Normal CDF, Bell Curve, Conditional Probability
Apply normal CDF, expected frequencies and conditional probability in a worked normal-distribution question.
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Statistics and probability · SL 4.9
TI NSpire CX - Normal Distribution - Area under Bell Curve - Probabilities - Worked Examples
Use normal CDF on the TI-Nspire CX to calculate areas under the bell curve and solve normal probability questions.
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Statistics and probability · AHL 4.14
How to Calculate the Mean, or Expected Value, of a Continuous Random Variable
Calculate the mean or expected value of a continuous random variable using its probability density function.
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Statistics and probability · AHL 4.14
Median of a Discrete Random Variable - How to find it
Find the median of a discrete random variable using cumulative probabilities.
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Statistics and probability · AHL 4.14
Probability Density Functions - Cumulative Density Functions - Continuous Random Variables
Connect probability density and cumulative distribution functions when working with continuous random variables.
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Statistics and probability · AHL 4.14
Variance & Standard Deviation of a Discrete Random Variable
Calculate and interpret the variance and standard deviation of a discrete random variable.
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Calculus · SL 5.1
How to Find a Derivative at Any Point on TI-Nspire CX | 3 Methods for IB Maths
Find a numerical derivative at a chosen point using three TI-Nspire CX methods.
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Calculus · SL 5.1
What Is a Derivative? Gradient of a Curve | IB Maths AA & AI 5.1
Understand the derivative as the gradient of a curve and interpret values of the gradient function.
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Calculus · SL 5.1
What's a Derivative ? Differentiation ? The Gradient Function - Slope of a Curve
Connect differentiation, tangent gradients and the gradient function.
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Calculus · SL 5.2; SL 5.8
How to Make Sign Tables | Masterclass Part 1
Construct sign tables and use them to analyse the signs of expressions.
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Calculus · SL 5.2
Increasing & Decreasing Functions Explained | f'(x), Intervals & Stationary Points | IB Maths
Use the sign of the derivative to identify intervals of increase and decrease.
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Calculus · SL 5.2
Sign of f′(x): Increasing, Decreasing & Sketching f(x) | IB AA & AI Maths Full Lesson
Read the sign of the derivative and use a sign table to sketch the original function.
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Calculus · SL 5.2; SL 5.7
TI NSpire CX - How to Plot the First and Second Derivative Functions and Analyze Them
Plot and analyse the first and second derivative functions on a TI-Nspire CX.
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Calculus · SL 5.3
Gradient of a Curve = Gradient of the Tangent | IB Maths AA & AI Topic 5.3
Interpret the gradient of a curve as the gradient of its tangent at a point.
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Calculus · SL 5.3
Power Rule Differentiation FULL LESSON | IB Maths AA & AI | 9 Examples
Apply the power rule for differentiation through nine worked examples.
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Calculus · SL 5.3
Power Rule for Differentiation - Formula and Examples
Learn the power rule and apply it to differentiate powers of x.
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Calculus · SL 5.3
Power Rule for Products & Quotients of Powers | IB Maths AA & AI SL/HL
Simplify products and quotients of powers before applying the power rule.
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Calculus · SL 5.3; SL 5.6
Sum and Difference Rule, Multiplication by a Constant Rule for Differentiating Functions - Examples
Differentiate sums and differences of functions and apply the constant-multiple rule in worked examples.
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Calculus · SL 5.4
Equation of a Tangent to a Curve: 3-Step Method | IB Maths
Find the equation of a tangent using the point on the curve and its derivative.
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Calculus · SL 5.4
Normal Line to a Curve - How to Find its Equation - Method & Worked Example - Calculus
Find the equation of a normal using its point and perpendicular gradient.
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Calculus · SL 5.5
Definite Integrals on TI-Nspire CX II | 3 Methods Every IB Maths Student Should Know
Evaluate definite integrals on the TI-Nspire CX II using three calculator methods.
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Calculus · SL 5.5
IB Maths AI SL 5.5: Area Under a Curve with TI-Nspire CX | Definite Integrals
Calculate the area under a curve using a definite integral on the TI-Nspire CX.
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Calculus · SL 5.11; SL 5.5
TI NSpire CX - How to Evaluate Definite Integrals Graphically with a Calculator
Evaluate a definite integral graphically on a TI-Nspire CX.
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Calculus · SL 5.6
Chain Rule - Useful Shortcuts - Differentiation Must-Knows - Useful Results
Apply useful chain-rule shortcuts to common composite functions.
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Calculus · SL 5.6
Chain Rule for Differentiating Composite Functions - Formula - Examples
Differentiate composite functions with the chain rule.
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Calculus · SL 5.6
Product Rule for Differentiation - How to Differentiate a Product of Functions - Formula & Examples
Differentiate products of functions using the product rule.
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Calculus · SL 5.6
Quotient Rule for Differentiation - Formula & Worked Examples
Differentiate quotients of functions with a step-by-step quotient-rule method.
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Calculus · SL 5.8; SL 5.6
TI-Nspire CX: Plot y = f′(x) & Solve f′(x) = 0 | IB Maths AA & AI Calculus
Generate the derivative graph, solve f′(x) = 0 and use it to classify stationary points.
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Calculus · SL 5.7
How to Sketch a function y = f(x) given the graph of its derivative y = f'(x)
Sketch a possible original function from the graph of its derivative.
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Calculus · SL 5.7
Point of Inflexion – Complete Worked Example | Second Derivative Test f''(x)
Find points of inflexion by checking changes in the sign of the second derivative.
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Calculus · SL 5.7
Second Derivative & Concavity of a Function - How it all Works - Full Lesson
Connect the second derivative to concavity and the shape of a function.
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Calculus · SL 5.7; SL 5.8
Stationary Points from f′(x) | Full Lesson + GDC Classification | IB Maths AA SL & HL
Locate and classify stationary points from the graph of the derivative.
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Calculus · SL 5.8
Calculus Exam Question | Stationary Points | Second Derivative Test | Product Rule
Solve a calculus exam question involving stationary points, the product rule and the second derivative test.
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Calculus · SL 5.8
IB Maths AI SL Trapezoidal Rule Exam Question | Full Step-by-Step Solution
Work through an IB AI SL exam question using the trapezoidal rule.
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Calculus · SL 5.8
Second Derivative Test for Classifying Stationary Points - How it Works - Rules and Example
Classify stationary points with the second derivative test.
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Calculus · SL 5.8
Stationary Points - First Derivative Test - Study Sign of Derivative to Classify Them - Sign Table
Construct a sign table for the derivative and use it to classify stationary points.
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Calculus · SL 5.8
Stationary Points | Finding & Classifying Them using the First Derivative | First Derivative Test
Find and classify stationary points using the first derivative test.
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Calculus · SL 5.8
Trapezoidal Rule Explained | Understand the Formula | IB Maths AI SL & HL
Understand how the trapezoidal-rule formula approximates an area.
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Calculus · SL 5.8
Trapezoidal Rule Step by Step | Complete IB Maths AI SL Worked Example
Apply the trapezoidal rule step by step in a complete worked example.
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Calculus · SL 5.8
When the Second Derivative Test Fails: What to Do Next | IB Maths AA SL & HL
Use alternative tests when the second derivative is zero at a stationary point.
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Calculus · SL 5.9
Displacement Integrals FULL LESSON | IB Maths AA SL & HL Kinematics Part 1
Find displacement by integrating velocity.
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Calculus · SL 5.9
IB Math AA Kinematics: Velocity Function, v(t)=48+12t−6t^2 | Paper 1 Exam Question Walkthrough
Work through a Paper 1 kinematics question involving a quadratic velocity function.
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Calculus · SL 5.9
IB Math AA: Finding Distance from Velocity (Integrating |v(t)| Full Lesson Part 2)
Find total distance by integrating speed and accounting for changes in direction.
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Calculus · SL 5.10
Integrals with U-Substitution trick you need for the IB Exam (Video 2)
Extend substitution methods to rational functions and related integrals.
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Calculus · SL 5.10
Integrals with U-Substitution What you need for the IB Exam (Video 1)
Recognise and solve integrals using substitution and reverse-chain-rule ideas.
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Calculus · SL 5.10
U-Substitution for Definite Integrals: 2 Methods Explained | IB AA SL & HL
Use substitution in definite integrals, with or without changing the limits.
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Calculus · SL 5.11
Area Between Two Curves for Exams - TI NSpire CX
Find the area between two curves with a TI-Nspire CX.
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Calculus · SL 5.11
Definite Integrals as Signed Area | Full Lesson | IB Maths AA SL/HL
Interpret definite integrals as signed area and distinguish them from total geometric area.
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Calculus · SL 5.11
How to Calculate the Area Enclosed Between Two Curves - The Formula - Tutorial 1
Set up the integral for the area enclosed between two curves.
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Calculus · SL 5.11
How to Evaluate Definite Integrals | Newton–Leibniz Formula Step by Step | IB Maths
Evaluate definite integrals with the Newton–Leibniz formula.
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Calculus · AHL 5.12
IB Maths AA HL : Differentiation from First Principles (Step-by-Step)
Derive a derivative from first principles with careful algebraic steps.
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Calculus · AHL 5.13
L’Hôpital’s Rule Explained | IB Maths AA HL Limits Made Easy
Apply L’Hôpital’s rule to evaluate suitable indeterminate limits.
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Calculus · AHL 5.14
IB AA HL Optimization: Implicit Constraint Worked Example in 4 Steps
Solve an optimisation problem with an implicit constraint in four steps.
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Calculus · AHL 5.14
Related Rates Full Lesson | IB Math AA HL Calculus | 2 Must-Know Examples
Solve related-rates problems by differentiating relationships with respect to time.
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Calculus · AHL 5.16
IB AA HL Integration by Substitution: Changing the Variable | Part 1
Change the variable to solve an advanced integration-by-substitution problem.
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Calculus · AHL 5.16
Integration by Parts Made Easy | LIATE + 2 Worked Examples | IB Maths AA HL
Choose u and dv with LIATE and apply integration by parts to worked examples.
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Calculus · AHL 5.16
Repeated & Cyclic Integration by Parts | IB Math AA HL | AHL 5.16
Handle repeated and cyclic integration by parts, including integrals that return.
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Calculus · AHL 5.16
Repeated Integration by Parts | Step-by-Step Example | IB Maths AA HL
Apply integration by parts repeatedly in a worked example.
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Calculus · AHL 5.16
t = tan(x) Substitution for Integral of Rational Function of cos^2(x) and sin^2(x) | IB AA HL Maths
Apply t = tan(x) to a rational expression involving squared trigonometric functions.
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Calculus · AHL 5.16
Trig Substitution for Integration: x = tan(u) + Right Triangle | IB AA HL
Use a trigonometric substitution and a right triangle to return to the original variable.
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Calculus · AHL 5.17
Area Enclosed by a Curve and the Y Axis Between 2 Values of Y - Learn How with Example
Calculate an area between a curve and the y-axis over a stated y-interval.
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Calculus · AHL 5.17
Area Enclosed by Curve and y Axis Formula and Explanation - Integrals and Integration
Set up an area integral with respect to y.
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Calculus · AHL 5.17
Volume of Revolution About the x-Axis | IB Maths AA HL | Disk Method
Use the disk method to find a volume of revolution about the x-axis.
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Calculus · AHL 5.18
Euler's Method for Differential Equations | Spreadsheet on the TI-Nspire CX
Implement Euler’s method using a spreadsheet on the TI-Nspire CX.
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Calculus · AHL 5.18
Homogenous Differential Equations | What They Are & How to Solve Them | IB AA HL Mathematics
Recognise homogeneous differential equations and solve them using a substitution.
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Calculus · AHL 5.18
Linear Differential Equation | Integrating Factor | Example 2
Solve a first-order linear differential equation using an integrating factor: example 2.
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Calculus · AHL 5.18
Linear Differential Equations | Integrating Factor | Example 3
Solve a first-order linear differential equation using an integrating factor: example 3.
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Calculus · AHL 5.18
Linear Differential Equations | Integrating Factor | Example 1
Solve a first-order linear differential equation using an integrating factor: example 1.
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Calculus · AHL 5.18
Separable Differential Equations | What They Are & How to Solve Them | IB AA HL Mathematics
Separate variables and integrate to solve first-order differential equations.
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Calculus · AHL 5.19
Deriving Maclaurin Series arctan(x), tan^-1(x), by Integrating Series for 1/(1+x^2), full Derivation
Derive the series for arctan(x) by integrating the series for 1/(1 + x²).
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Calculus · AHL 5.19
Evaluating Limits with Maclaurin Series, How to Find the Limit, Example 2
Evaluate a limit by substituting suitable Maclaurin expansions.
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Calculus · AHL 5.19
Maclaurin Series Differentiating & Integrating, Differentiation & Integration | IB AA HL Mathematics
Differentiate and integrate known Maclaurin series to obtain new expansions.
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Calculus · AHL 5.19
Maclaurin Series Expansion (1+x)^n and its use for Expansions of other Functions
Use the expansion of (1 + x)^n to obtain other Maclaurin series.
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Calculus · AHL 5.19
Maclaurin Series Expansion of e^sinx using Substtution
Find the Maclaurin expansion of e^(sin x) using substitution.
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Calculus · AHL 5.19
Maclaurin Series Formula, How to Read and Use It, Explanation Slow and Detailed Example
Read and apply the Maclaurin-series formula in a detailed worked example.
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Calculus · AHL 5.19
Maclaurin Series Solution to Differential Equation 1 | How to Solve | IB AA HL Mathematics
Find a Maclaurin-series solution to a differential equation: example 1.
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Calculus · AHL 5.19
Maclaurin Series Solution to Differential Equation 2 | 2nd Order Linear | IB AA HL Mathematics
Find a series solution to a second-order linear differential equation.
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Calculus · AHL 5.19
Maclaurin Series Solution to Non-Linear First Order Differential Equation
Find a Maclaurin-series solution to a nonlinear first-order differential equation.
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Calculus · AHL 5.19
Maclaurin Series, How They Work, Taylor Polynomials, Graphs and Introduction to Taylor Series
Understand Maclaurin series through polynomial approximations and graphs.
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