evalf int(1/2*x^(3*x^(-1/2)+1-1)*(3*x^(-1/2)*(-1/2*ln(x)+1)+1)*e^(-1/2*x^(3*x^(-1/2)+1)),x=0..infty)

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.