The region in the first quadrant bounded by the curves and for is revolved about the -axis

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

Problem

The region in the first quadrant bounded by the curves

y = 2x - x^{2}

and

y = x

for

0 \le x \le 2

is revolved about the

x

-axis. Write, but do not evaluate, a definite integral expression for the exact volume of the solid that is formed.