Calculate the exact volume of the solid formed when the region bounded by and for is…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Calculate the exact volume of the solid formed when the region bounded by

y = \sin x

and

y = \cos x

for

0 \le x \le \tfrac{\pi}{2}

is revolved about the

x

–axis. Express your answer in terms of

\pi