4 votes 4 votes Please solve the following integration problem $\int_{0}^{\infty}{ y^{\frac{1}{2} }}e^{-y^3}dx$I want full explanation. please help me ? monali asked Nov 4, 2015 edited Feb 8, 2016 by ibia monali 2.3k views answer comment Share Follow See all 8 Comments See all 8 8 Comments reply Show 5 previous comments LeenSharma commented Nov 4, 2015 reply Follow Share you can upload this image. 0 votes 0 votes monali commented Nov 4, 2015 i edited by monali Nov 4, 2015 reply Follow Share YEAH GIVE ME DETAIL SOLUTION OF THIS 0 votes 0 votes Praveen Saini commented Feb 9, 2016 reply Follow Share this question is incomplete. 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes 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 radha gogia answered Feb 9, 2016 radha gogia comment Share Follow See 1 comment See all 1 1 comment reply anonymous commented Aug 3, 2016 reply Follow Share your solution is not correct. 0 votes 0 votes Please log in or register to add a comment.