Question

integration by parts help PLEASE

Answer 1

\[\int\limits \frac{ x ^{3}e ^{x ^{2}} }{ (x^2+1)^{2} }dx\]

Answer 2

Hmm this one looks really familiar. I have to think about it a sec though :o

Answer 3

don't tell me this is similar to the one you helped me with a few days ago :)

Answer 4

lol i dont remember which one yer talking about :D

Answer 5

I tried separating the e as a factor and then going from there. Really don't know what to do with this one because of it being a rational with two exponential factors in the numerator

Answer 6

@Algebraic! do you have time for help with an integration by parts problem?

Answer 7

I have used a cas calculator to sole this. It is one of those loopy solutions that has an integral as part of the answer

Answer 8

Mmmmmmmmmm I don't think so. It might require integration by parts twice.

But I think it's one that just has a little trick to it.
I think i remember seeing this problem on a lab once in my calc 2 class.. Trying to remember how to solve it heh.

Answer 9

Do you remember the ones where the integral eventually turns out to be what you started with? Then it repeats itself? I really think this is one of those because every time my calculator gives that kind of answer it ends up being one of those

Answer 10

Yes such as:
e^x sin x dx

That an example of a problem that will do that circular type of thing :)
They're not too bad, just a few extra steps to get through.

Answer 11

Yeah I just can't figure how to start this one

Answer 12

Hmm i'm gonna cheat :C gotta check wolfram I'm afraid..

Answer 13

I can't ever get it to show me the steps and an answer means little to help me learn it, other than to check to see if I got it right

Answer 14

ew this one is evil.. would be really hard to like.. guess these parts :\

Answer 15

how do you get wolfram to show you those things?

Answer 16

To show the solutions?
I dunno, I had to create an account to view them XD I use Wolfram a lot, seemed like a good idea :D