Double Integral in Rectangular Coordinates

  1. 1. The problem statement, all variables and given/known data

    [​IMG]

    2. Relevant equations

    n/a

    3. The attempt at a solution
    I set up the intgral at
    integral from 0 to 5 of integral from 0 to 5y of 8e^(y^2)dxdy

    I solved it as an iterated integral so I solved the first part, then ended up with integral from 0 to 5 of 40ye^(y^2)

    Am I going about it right? Isn't there no antideriative for e^(y^2)? I dont know where to go from here in solving this

    Thanks everyone.
     
  2. jcsd
  3. Dick

    Dick 25,887
    Science Advisor
    Homework Helper

    Yes, there's no elementary antiderivative for e^(y^2). There is one for y*e^(y^2). Use the substitution u=y^2.
     
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