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iGCSE (2021 Edition)

12.02 The reverse chain rule

Interactive practice questions

Find $y$y if $\frac{dy}{dx}=\left(3x+5\right)^4$dydx=(3x+5)4.

Use $C$C as the constant of integration.

Easy
Approx 2 minutes
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If $\frac{dy}{dx}=\left(6x-5\right)^2$dydx=(6x5)2, find the primitive, $y$y.

Use $C$C to represent any constant.

Find $\int\left(x-5\right)^4dx$(x5)4dx, with $C$C as the constant of integration.

Find $\int\left(2x+3\right)^3dx$(2x+3)3dx, with $C$C as the constant of integration.

Outcomes

0606C14.9A

Integrate functions of the form (ax + b)^n for any rational n.

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