- #1

stunner5000pt

- 1,461

- 2

[tex] \int \int \int_{G} 6x (z+y^3) dx dy dz [/tex] G bounded by [tex] x = 0, \ x = y, \ z = y-y^2, \mbox{and} \ z=y^2 - y^3 [/tex]

x from 0 to1

y from 0 to x

z from z=y-y^2 to y^2 - y^3

and the integration order becomes dz dy dx

would this give the right answer?

what aboiut this one

[tex] \int \int \int_{G} xy + xz dx dy dz [/tex]

G bounded by z = x, z=2-x, z = y^2

z goes from 2-y^2 to y^2

y goes from 2-x to x

x goes from 0 to 2

and the integration order to dz dy dx

I think the second one is wrong. Please do help!