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Evaluate the triple integral ∫∫∫ x^2e^y where E is bounded by the parabolic cylinder z=1-y^2 and the planes z=0, x=1, x=-1 (check limits of)?
Evaluate the triple integral ∫∫∫ x^2e^y where E is bounded by the parabolic cylinder z=1-y^2 and the planes z=0, x=1, x=-1 (check limits of integration/work)?
I understand the parabolic cylinder is alone and has rulings parallel to the x axis
are my limits of integration correct?
∫ (0 to 1) ∫ (-1 to 1) ∫ (0 to 1-y^2) (x^2*e^y) dx dy dz
1 Answer
- kbLv 76 years ago
The variable x should also be in [-1, 1] (as given in the problem).
Otherwise, the bounds are fine.
I hope this helps!