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
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