# Integration by parts with e

• Mar 19th 2013, 09:16 AM
Integration by parts with e
Hello,
I was just in the middle of trying to solve this Integral when I got very confused. (Angry)

This is the integral that I am trying to solve: http://i1057.photobucket.com/albums/...ps3feb2808.png

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

Step 2 (Integrate by Parts): http://i1057.photobucket.com/albums/...pse7c3a335.png

Step 3 (Integrate by Parts again): http://i1057.photobucket.com/albums/...psee06c15a.png

Step 4 (Where I get lost): http://i1057.photobucket.com/albums/...psbe2c1f36.png

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! (Nod)
• Mar 19th 2013, 09:21 AM
Plato
Re: Integration by parts with e
Quote:

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\$.
• Mar 19th 2013, 09:24 AM