Evaluate the integral:
$$\int\limits_{}^{}ye ^{0.2y}dy$$
The problem we are having is the antiderivative of
$$e ^{0.2y}.$$ We decided to split the problem into:
u = y
$$uv = e^{0.2y}$$
We just aren't sure where to go from here. Help?

Question

Evaluate the integral: 
$$\int\limits_{}^{}ye ^{0.2y}dy$$ 
The problem we are having is the antiderivative of 
$$e ^{0.2y}.$$ We decided to split the problem into:
u = y
$$uv = e^{0.2y}$$
We just aren't sure where to go from here. Help?

anonymous · Answer

Or rather, what is the integral of (ye^0.2y)dy ?

anonymous · Answer

I like looking at 0.2 as y/5 it is easier to see how it works... so for this problem try:

dv = e^y/5
v = 5e^y/5
u = y
du = dy

Go for it again!! :D

anonymous · Answer

Thanks for the help setting it up, again.

anonymous · Answer

always a pleasure!

anonymous · Answer

We ended up getting 5ye-25e^y/5dy. Correct? Thanks yet again for the help!

anonymous · Answer

There shouldn't be a dy term in your answer.. umm, let me see what i get and i'll post it and we can find where you got off :) you're definitely close though!

anonymous · Answer

sorry it wasn't dy it was 5ye-25e^y/5+C

anonymous · Answer

oh nvmd i misread what you wrote, it's e^y/5 nothing divided by 5 xD i'm sorry.. everything looks good, just put a ^y/5 power on the first e in your answer :)