Integration by Parts - Practice

Maths: Edexcel A Level Pure Maths, topic 8.2.5

What is Integration by Parts?

Integration by parts is a method used to integrate the product of two functions. It uses the product rule of differentiation to form an equation that lets us rewrite the integral in a simpler way.

Integration by parts

The equation for integration by parts is:
$\int u\frac{dv}{dx}dx = uv-\int v\frac{du}{dx}dx$
This equation is included in the formula booklet, although it is not named, so you'll need to remember which one it is!

Choosing functions

In order to use the integration by parts equation, we need to choose which function is $u$ and which function is $\frac{dv}{dx}$ .
The combination you choose should make the integral $\int v \frac{du}{dx}dx$ simpler than the original integral you need to solve.

Constant of integration

The constant of integration is only included at the very end of the calculation.

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