Question

Use cylindrical coordinates to evaluate the triple integrals:
∫∫∫(x^(3) +xy^(2))dV, where Q is the solid in the
Q
first octant that lies beneath the paraboloid z=1-x^(2)-y^(2)
Please explain step by step

Answer 1

i tend to get cyl and sphere coords mixed up; this tends to help

Answer 2

\[polar\to(r,\theta)\]
\[cylindar\to (r,\theta,z)\]

Answer 3

z = 0 to 1-x^2-y^2