Is there anybody here who know hows to solve any of the problems below? I've tried some methods but none of then worked.

It would be really helpfull if anybody knows any of the problems above.

Thanks for the help

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- Dec 2nd 2007, 03:38 AMbrenorochaComplicated Integration
Is there anybody here who know hows to solve any of the problems below? I've tried some methods but none of then worked.

It would be really helpfull if anybody knows any of the problems above.

Thanks for the help - Dec 2nd 2007, 08:05 AMThePerfectHacker
Maybe you have the limit to in that case some complex analysis will do it.

- Dec 2nd 2007, 08:14 AMbrenorochaOps...
I forgot to mention that, the limits are 0 and . Isn't there a way of solving that without putting complex numbers involved?

I mean, I haven't learnt it yet, anyway, could you please post the solution of any of then with that complex analysis - Dec 2nd 2007, 08:36 AMKrizalid
- Dec 2nd 2007, 08:43 AMThePerfectHacker
- Dec 2nd 2007, 09:39 AMbrenorochaThanks
Thank you for the help...

I'll try to solve the others now.

Just to notice, how do I calculate the res() that is in your solution?

The other ( ), how can I solve it? Trigonometric substitution? Parts? or Partial fraction? which is the easiest? - Dec 2nd 2007, 10:08 AMPaulRS
- Dec 2nd 2007, 11:27 AMKrizalid

As said, make the substitution

Define another substitution

By symmetry,

So,

Final substitution

And we happily get

:D:D - Dec 2nd 2007, 12:34 PMtopsquark
- Dec 2nd 2007, 12:54 PMbrenorocha
- Dec 2nd 2007, 01:24 PMtopsquark
- Dec 2nd 2007, 02:18 PMbrenorocha
- Dec 2nd 2007, 04:02 PMKrizalid
- Dec 2nd 2007, 04:21 PMbrenorocha
That's right... I forgot to change the limits... sorry

Thanks for the help

there is just one left now...

- Dec 2nd 2007, 05:33 PMtopsquark