For , the region enclosed by and is revolved about the -axis. Calculate the exact…

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

Problem

For

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

, the region enclosed by

y = \sin x

and

y = \cos x

is revolved about the

x

-axis. Calculate the exact volume of the solid that is produced.

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