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Please solve the following integration problem

$\int_{0}^{\infty}{ y^{\frac{1}{2} }}e^{-y^3}dx$

I want full explanation. please help me ?

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Take y 3/2 =t so that 3/2 y 1/2 dy=dt  ,Also reverse the limit values from infinity to zero and place a negative sign Now ur integration becomes as per this link , Now when u will evaluate it u will get the answer as 4/3

http://www.hostmath.com/Show.aspx?Code=-2%2F3%5Cint_%7B%5Cinfty%7D%5E%7B0%7D1%2Fe%5Csurd%20t%20%20%20dt%0A%5CRightarrow%20%0A%0At%3Dx%5E%7B2%7D%5Crightarrow%20dt%3D2xdx%0A%5CRightarrow%20-4%2F3%5Cint_%7B%5Cinfty%7D%5E%7B0%7Dxe%5E%7B-x%7Ddx%20

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