To all Integral lovers,

In the Spirit of Integration....here is a popular integral (Thinking)

Well Enjoy,

Isomorphism

P.S: Elegant methods score can score a lot of 'thank you's :D

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- Apr 29th 2008, 12:02 PMIsomorphismDefinitely Integral
To all Integral lovers,

In the Spirit of Integration....here is a popular integral (Thinking)

Well Enjoy,

Isomorphism

P.S: Elegant methods score can score a lot of 'thank you's :D - Apr 29th 2008, 12:19 PMThePerfectHacker
- Apr 29th 2008, 12:32 PMIsomorphism
- Apr 30th 2008, 01:03 AMIsomorphism
OK i will post my solution since nobody else replied

So

**Part 2:**

This is a funny integral... not hard... but the answer is interesting

People who solve it can comment on the answer rather than showing the answer (Wink) - Apr 30th 2008, 02:53 AMMathstud28
- Apr 30th 2008, 04:18 AMIsomorphism
- May 1st 2008, 12:19 PMIsomorphism
I thought of converting this thread into an "integral collection of my life". So I will be posting integrals here that seem nice to me. Anyone who thinks (s)he has a nice solution, can of course post them here... Thank you :D

The next one in the set:

**Part 3:**

- May 1st 2008, 12:27 PMThePerfectHacker
- May 1st 2008, 12:38 PMIsomorphism
- May 1st 2008, 01:22 PMMathstud28
- May 1st 2008, 01:31 PMIsomorphism
can be solved without complex numbers. I used only pure substitution and algebraic tricks :)

Unfortunately what I did only holds for this problem (Crying). It does not work for TPH's generalization.**P.S:** - May 1st 2008, 01:42 PMKrizalid
- May 2nd 2008, 03:17 PMJhevon
- May 2nd 2008, 06:05 PMKrizalid
Let Make the substitution hence

Note aside: I've heard that the Reflection Formula can be only proved via complex analysis. It's a dream to see a solution with elementary tools. - May 8th 2008, 11:55 PMIsomorphism
Here is the latest update of "Definitely Integral" (Cool)

Compute I:

P.S:I think its quite hard :(