Double integral, change order of integration, int(0,1)int(y,1)(e^(-x^2)*y^2)dxdy

[acapa]

hey,

i'm having some difficulties solving a problem. i want to know exactly how to go about solving it, since i am studying for a final exam. i know that i need to change the order of integration, but i'd also like to see how it's done correctly, since no official answers are provided... (my answer, btw, is (1-2/e)/6)

int(0,1)int(y,1)(e^(-x^2)*y^2)dxdy

where int(lower limit, upper limit)

thanks so much in advance!

 

[mathman]

Changing the order of integration is easy, but I don't see how it helps.

If you want to do y first, then you have (0,1) for x and (0,x) for y.

 

[acapa]

thank you so much!