# Thread: Integration by parts with e

1. ## Integration by parts with e

Hello,
I was just in the middle of trying to solve this Integral when I got very confused.

This is the integral that I am trying to solve:

I will post the steps and then note when I get confused.

Step 2 (Integrate by Parts):

Step 3 (Integrate by Parts again):

Step 4 (Where I get lost):

I have no problem with integrating by parts, but I start to get lost when the integral left over on the right of the = sign is equal to the integral on the left of the = sign. How does the 5 come into play? What is that process that this problem goes through?

Your help is hugely appreciated!

2. ## Re: Integration by parts with e

Originally Posted by Shadow236
Hello,
I have no problem with integrating by parts, but I start to get lost when the integral left over on the right of the = sign is equal to the integral on the left of the = sign. How does the 5 come into play? What is that process that this problem goes through?

If $\displaystyle y=x-4y$ then $\displaystyle 5y=x$.

3. ## Re: Integration by parts with e

NO WAY.... =0
I guess I got lost in the complexity. Thank you!