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# Integration By Parts watch

1. I'm really struggling with an integration that i'm sure is quite simple but i seem to be going round in circles

Taking .
Then

Then Hence

By integration by parts:

Which requires integration by parts etc... where am i going wrong?
2. (Original post by gemma331)
where am i going wrong?
From the beginning.

Start by expanding the brackets.

One term is a straight integration, and the other requires IBP.

Switch your u and v around so v' = e^t.
3. (Original post by gemma331)
I'm really struggling with an integration that i'm sure is quite simple but i seem to be going round in circles

Taking .
Then

Then Hence

By integration by parts:

Which requires integration by parts etc... where am i going wrong?
I'm with Ghostwalker here.

By the way, it's not 100% clear which of x and t is the constant term, but I'm assuming it's x.

If you can evaluate

then there's not that much more to be done here.

If you can't

Spoiler:
Show

take

and

4. (Original post by gemma331)
I'm really struggling with an integration that i'm sure is quite simple but i seem to be going round in circles

Taking .
Then

Then Hence

By integration by parts:

Which requires integration by parts etc... where am i going wrong?
If your integration variable is t, then you can treat x as a constant as far as the integration is concerned, so multiply out your bracket into 2 terms and take any 'x factors' outside the integral. The only thing you have left that requires integration by parts is
5. You're integrating with respect to t, not x. In the second integral you can treat all the non-t factors as constants which can be taken outside, so all you then have to do is integrate t^2 dt.

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Updated: March 28, 2013
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