Last updated on Sep 22, 2026

Reverse Chain Rule (AQA A-Level Mathematics): Flashcards

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Reverse Chain Rule

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Alternative name for Reverse Chain Rule

Integration by substitution

Type of function Reverse Chain Rule evaluates

Composite functions

First step in Reverse Chain Rule

Identify the inner function

What to let $u$ equal in substitution

The inner function $g(x)$

Final step after integrating w.r.t. $u$

Substitute $u = g(x)$ back

$\int 2x \cdot \cos(x^2) dx$ =

$\sin(x^2) + C$

$\int (3x^2)(x^3 + 1)^5 dx$ =

$\frac{(x^3 + 1)^6}{6} + C$

$\int 2xe^{x^2} dx$ =

$e^{x^2} + C$

$\int \cos(3x) dx$ =

$\frac{1}{3}\sin(3x) + C$

When $\frac{du}{dx} = 3$ , express $dx$ in terms of $du$

$dx = \frac{du}{3}$

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Integration

Further Integration

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Integration

Further Integration

Differential Equations

Explore AQA A-Level Mathematics Quizzes by Topics

Integration

Further Integration

Differential Equations

Explore AQA A-Level Mathematics Exam Questions by Topics

Integration

Further Integration

Differential Equations

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