# Thread: Only one more question to do and it is making me crazy!!!!

1. ## Only one more question to do and it is making me crazy!!!!

I need to integrate the following. I can use tables, if needed. My brain is melting and I am just going in all the wrong directions. I would really appreciate any help and thank you in advance.

$\displaystyle x^2 * sqrt(5x-3)$

I am not sure that worked correctly- in English, the problem is integrate x^2(square root of 5x-3)

2. Originally Posted by mathatlast
I need to integrate the following. I can use tables, if needed. My brain is melting and I am just going in all the wrong directions. I would really appreciate any help and thank you in advance.

$\displaystyle x^2 * sqrt(5x-3)$

I am not sure that worked correctly- in English, the problem is integrate x^2(square root of 5x-3)
Substitute $\displaystyle u = 5x - 3 \Rightarrow x = \frac{u + 3}{5} \Rightarrow x^2 = .....$ and $\displaystyle dx = .....$.

Now expand, integrate and then back-substitute $\displaystyle u = 5x - 3$.