Hello,

plz try to solve this question.

Thanks

Printable View

- May 17th 2007, 10:34 AMm777Reverse the order of the integral
Hello,

plz try to solve this question.

Thanks - May 17th 2007, 11:00 AMtopsquark
This and your last question contained fairly easy integrals. If you are having trouble with them, please make sure try to point out what it is so we can help you.

In my (rather ugly) notation, we have:

Int[ Int[(1 - 6x^2*y) dy, -1, 1] dx, 0, 2]

vs.

Int[ Int[(1 - 6x^2*y) dx, 0, 2] dy, -1, 1]

The first is:

Int[ Int[(1 - 6x^2*y) dy, -1, 1] dx, 0, 2]

= Int[ [y - 3x^2*y^2, -1, 1], dx, 0, 2]

= Int[2 dx, 0, 2] = [2x, 0, 2] = 4

The second is:

Int[ Int[(1 - 6x^2*y) dx, 0, 2] dy, -1, 1]

= Int[ [x - 2x^3*y, 0 , 2] dy, -1, 1]

= Int[(2 - 16y) dy, -1, 1]

= [2y - 8y^2, -1, 1] = 4

-Dan