1. ## integration by substitution

Using the substitution , or otherwise, find . Give your answer in terms of .

Could someone explain the steps to solve this problem please? Im a wee bit confused! Cheers x

2. Originally Posted by Haris
Using the substitution , or otherwise, find . Give your answer in terms of .

Could someone explain the steps to solve this problem please? Im a wee bit confused! Cheers x
$\displaystyle \int\cos^9(x)\sin(x)dx$

By making the substitution $\displaystyle \varphi=\cos(x)$ this becomes

$\displaystyle -\int\varphi^9d\varphi$