Write, but do not evaluate, a sum of definite integrals that gives the exact volume…

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

Problem

Write, but do not evaluate, a sum of definite integrals that gives the exact volume of the solid obtained when the region bounded by

y = \sqrt{x}

y = 2 - \tfrac{x}{2}

, and the

x

-axis is revolved about the

x

-axis.