Re: problem involving integration by parts


On Wed, 24 Jan 2007, woodland wrote:

Hi

I am trying to solve one indefinite integral

int x*exp(2x)/(2x+1)^2 dx

Now when we try to solve integral 'int u*v dx' where u and v are two
functions, we have to choose one of them to be integrated in the first
step. So I chose (x)/(2x+1)^2
as the term which I keep as it is in the first term. But
I will have to differentiate this function in the second term. I got
stuck after that and couldnt solve the integral. Can anybody give me a
hint to proceed.

Regards
wood

It is a nasty one, you have to experiment. I tried

x*exp(2*x) to be integrated, but the integral gets me

(1/4)*(2*x-1)*exp(2*x)

which has the minus sign in the wrong place.

So, reverse the strategy!

Cheers, ZVK(Slavek).
.

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