Originally Posted by

**astuart** I'm just having a bit of trouble remembering the process of some of the integral rules, namely the power rule and the 'indefinite integral of a constant multiple of a function.

Basically, the example in my textbook is as follows (Not sure how to do the integral symbol, so hope this all make sense - I'll use 'int.' to denote that symbol).

$\displaystyle int. (1/x^(^3^/^2^)dx = int. x^(^-^3^/^2^)dx$ (No issues understanding this)

$\displaystyle =(1/(-1/2))x^(^-^1^/^2^) + C$ (Again, no issues here)

$\displaystyle = -2x^(^-^1^/^2^) + C = -(2/x^(^1^/^2^)) + C$

This is where I get a little lost. I have no idea where the 2 comes from in this part. I would have thought that from $\displaystyle =(1/(-1/2))x^(^-^1^/^2^)$ it would in fact be $\displaystyle ((-1/2)/(-1/2)x^(^-^1^/^2^)$, which would just be x^(-1/2).

Obviously, I'm going wrong here, so an explanation would be great. The textbook makes no mention of why this occurs and it's most likely something simple..

Cheers