L’Hôpital’s Rule Explained | IB Maths AA HL Limits Made Easy
AA HL · Topic 5 · AHL 5.13
Apply L’Hôpital’s rule to evaluate suitable indeterminate limits.
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IB AA HL Optimization: Implicit Constraint Worked Example in 4 Steps
AA HL · Topic 5 · AHL 5.14
Solve an optimisation problem with an implicit constraint in four steps.
Related Rates Full Lesson | IB Math AA HL Calculus | 2 Must-Know Examples
AA HL · Topic 5 · AHL 5.14
Solve related-rates problems by differentiating relationships with respect to time.
IB AA HL Integration by Substitution: Changing the Variable | Part 1
AA HL · Topic 5 · AHL 5.16
Change the variable to solve an advanced integration-by-substitution problem.
Integration by Parts Made Easy | LIATE + 2 Worked Examples | IB Maths AA HL
AA HL · Topic 5 · AHL 5.16
Choose u and dv with LIATE and apply integration by parts to worked examples.
Repeated & Cyclic Integration by Parts | IB Math AA HL | AHL 5.16
AA HL · Topic 5 · AHL 5.16
Handle repeated and cyclic integration by parts, including integrals that return.
Repeated Integration by Parts | Step-by-Step Example | IB Maths AA HL
AA HL · Topic 5 · AHL 5.16
Apply integration by parts repeatedly in a worked example.
t = tan(x) Substitution for Integral of Rational Function of cos^2(x) and sin^2(x) | IB AA HL Maths
AA HL · Topic 5 · AHL 5.16
Apply t = tan(x) to a rational expression involving squared trigonometric functions.
Trig Substitution for Integration: x = tan(u) + Right Triangle | IB AA HL
AA HL · Topic 5 · AHL 5.16
Use a trigonometric substitution and a right triangle to return to the original variable.
Area Enclosed by a Curve and the Y Axis Between 2 Values of Y - Learn How with Example
AA HL · Topic 5 · AHL 5.17
Calculate an area between a curve and the y-axis over a stated y-interval.
Area Enclosed by Curve and y Axis Formula and Explanation - Integrals and Integration
AA HL · Topic 5 · AHL 5.17
Set up an area integral with respect to y.
Volume of Revolution About the x-Axis | IB Maths AA HL | Disk Method
AA HL · Topic 5 · AHL 5.17
Use the disk method to find a volume of revolution about the x-axis.
Euler's Method for Differential Equations | Spreadsheet on the TI-Nspire CX
AA HL · Topic 5 · AHL 5.18
Implement Euler’s method using a spreadsheet on the TI-Nspire CX.
Homogenous Differential Equations | What They Are & How to Solve Them | IB AA HL Mathematics
AA HL · Topic 5 · AHL 5.18
Recognise homogeneous differential equations and solve them using a substitution.
Linear Differential Equation | Integrating Factor | Example 2
AA HL · Topic 5 · AHL 5.18
Solve a first-order linear differential equation using an integrating factor: example 2.
Linear Differential Equations | Integrating Factor | Example 3
AA HL · Topic 5 · AHL 5.18
Solve a first-order linear differential equation using an integrating factor: example 3.
Linear Differential Equations | Integrating Factor | Example 1
AA HL · Topic 5 · AHL 5.18
Solve a first-order linear differential equation using an integrating factor: example 1.
Separable Differential Equations | What They Are & How to Solve Them | IB AA HL Mathematics
AA HL · Topic 5 · AHL 5.18
Separate variables and integrate to solve first-order differential equations.
Deriving Maclaurin Series arctan(x), tan^-1(x), by Integrating Series for 1/(1+x^2), full Derivation
AA HL · Topic 5 · AHL 5.19
Derive the series for arctan(x) by integrating the series for 1/(1 + x²).
Evaluating Limits with Maclaurin Series, How to Find the Limit, Example 2
AA HL · Topic 5 · AHL 5.19
Evaluate a limit by substituting suitable Maclaurin expansions.
Maclaurin Series Differentiating & Integrating, Differentiation & Integration | IB AA HL Mathematics
AA HL · Topic 5 · AHL 5.19
Differentiate and integrate known Maclaurin series to obtain new expansions.
Maclaurin Series Expansion (1+x)^n and its use for Expansions of other Functions
AA HL · Topic 5 · AHL 5.19
Use the expansion of (1 + x)^n to obtain other Maclaurin series.
Maclaurin Series Expansion of e^sinx using Substtution
AA HL · Topic 5 · AHL 5.19
Find the Maclaurin expansion of e^(sin x) using substitution.
Maclaurin Series Formula, How to Read and Use It, Explanation Slow and Detailed Example
AA HL · Topic 5 · AHL 5.19
Read and apply the Maclaurin-series formula in a detailed worked example.