change the order of integration.  upon doing this you should get limits on outer integral: lower=0, upper=3; limits on inner integral: lower=0, upper=y/3 where the integral is e^(y^2)dxdy.  now you get xe^(y^2) and evaluate that from 0 to y/3 to get y/3e^(y^2)dy.  Now use substitution u=y^2du=2ydy du/2=ydy which gives 1/6e^u for the integrand, limits being 0 and 9, and when evaluated gives 1/6(e^9-1)####[]