A volume in the first octant of space is bounded above by the surface z=4-(x^2), below by the plane z=0, and laterally by x=0 and the cylinder y=2x-(x^2). Compute the volume.
A volume in the first octant of space is bounded above by the surface z=4-(x^2), below by the plane z=0, and laterally by x=0 and the cylinder y=2x-(x^2). Compute the volume.
$\displaystyle \iint_A \int_0^{4-x^2} dz ~dA$ where $\displaystyle A$ is the region of integration made by the parabola $\displaystyle y=2x-x^2$.