# Math Help - Problem with Integration: U-substitution

1. ## Problem with Integration: U-substitution

Hey guys, I'm having trouble understanding an aspect of u-substitution. In this problem:
Integrate: $x^3/(5*x^4+2)^3 * dx$

u = $5*x^4 + 2$
$1/20 * du = x^3 *dx$

So that takes care of the $x^3 * dx$ in the first equation, and the rest of the integration is easy.

But I don't understand why the same principle can't be applied here:
Integrate: $x * sqrt(x-3) * dx$
u = x-3
du = x * dx

Why can't you cancel out x * dx with du here?

Thanks in advance for any help.

2. Originally Posted by bobbert116
u = x-3
du = x * dx
du = dx not x dx ..