AP Calc AB Problem - Finding volumeThe base of a solid in the region bounded...
AP Calc AB Problem - Finding volume
The base of a solid in the region bounded by the two parabolas and . Cross sections of the solid perpendicular to the x-axis are semicircles. What is the volume, in cubic units, of the solid?
The answer choices are:
I started off by writing the integral like this:
then I simplified it to
I can't think of anyway to solve this problem from here, without using a calculator.