f(x)=k*[1-e^(.5x)]^10 * [e^.5]^11 0<x<infinity

integrate yhis function from the limit 0 to x?? please help me out

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- Jul 27th 2010, 02:25 AMwahibpleae help me to solve this integral ?
f(x)=k*[1-e^(.5x)]^10 * [e^.5]^11 0<x<infinity

integrate yhis function from the limit 0 to x?? please help me out - Jul 27th 2010, 03:47 AMtonio

What you wrote is $\displaystyle \int\limits^\infty_0 k\left(1-e^{x/2}\right)^{10}e^{11/2}\,dx = ke^{11/2}\int\limits^\infty_0\left(1-e^{x/2}\right)^{10}\,dx = -\left[\frac{2ke^{11/2}}{11}\left(1-e^{x/2}\right)^{11}\right]^\infty_0 $ ,and this doesn't converge, so I think you may have meant another thing. Try again and write carefully (much clearer with LaTeX).

Tonio - Jul 27th 2010, 07:24 AMwahib
oh ! (Surprised)Sorry there is a mistake in writing

f(x)=k*[1-e^(.5x)]^10 * [e^(.5x)]^11 0<x<y

I have to integrate this fuction ?