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  3. ZuAI AP College Board Maths 2020
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Methods of Integration

Michael Green

Michael Green

7 min read

Next Topic - Integration Using Substitution
Study Guide Overview

This guide covers integrating composite functions using the reverse chain rule. It explains how to identify the main function, adjust and compensate for coefficients, and integrate functions raised to a power. It also details the special case of integrating f'(x)/f(x), provides practice questions and a glossary of key terms.

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Previous Topic - Evaluating Definite IntegralsNext Topic - Integration Using Substitution

Question 1 of 9

Which of the following represents the general form for integrating a composite function using reverse chain rule? 🧐

∫f(g(x))⋅g′(x),dx=f(g(x))+C\int f(g(x)) \cdot g'(x) , dx = f(g(x)) + C∫f(g(x))⋅g′(x),dx=f(g(x))+C

∫f′(g(x))⋅g′(x),dx=f(g(x))+C\int f'(g(x)) \cdot g'(x) , dx = f(g(x)) + C∫f′(g(x))⋅g′(x),dx=f(g(x))+C

∫f′(x)⋅g′(x),dx=f(g(x))+C\int f'(x) \cdot g'(x) , dx = f(g(x)) + C∫f′(x)⋅g′(x),dx=f(g(x))+C

∫f(g(x)),dx=f(g(x))+C\int f(g(x)) , dx = f(g(x)) + C∫f(g(x)),dx=f(g(x))+C