Math Is Fun Forum

saudi_boy

Member

Registered: 2006-11-01

Posts: 41

integration question

hii all,,,

how r u??

My friend gave me a integral to solve

and I try but I couldn't,, I think that the question is wrong !!!

I think this integral is improper

see it
and try to help me to solve it

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: integration question

That’s quite a tricky one. Here’s how you can do it.

Integrating by parts, you get

It can be shown that

Hence

And

Proof: http://math.ucsd.edu/~ebender/20B/7_DefInt.pdf

Thus

Last edited by JaneFairfax (2008-06-12 12:07:11)

saudi_boy

Member

Registered: 2006-11-01

Posts: 41

Re: integration question

hiiiiii JaneFairfax ,,,

thank thank thank you very much

you are really intelligent

but can you explain to me the first part    I understand the second part of integration

but why you take the limit   
we know that the integration at zero is undefined..

maybe the question is strange  but I would like to know the exact meaning...

thanks again