Maths · A-Level

Why integration by parts works

It's just the product rule, read backwards.

Scene 1 of 7

Start with the product rule

\frac{d}{dx}(uv) = u\frac{dv}{dx} + v\frac{du}{dx}

Let's begin with something you already know. When you differentiate a product of two functions, u times v, you get u times v dash, plus v times u dash.

Step 1 · your turn

Why integration by parts works

Start with the product rule

Choose u and dv/dx