Let be the region bounded by the curves and

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

Problem

Let

R

be the region bounded by the curves

y = x^2

and

y = 2x

. Cross sections perpendicular to the

y

-axis are rectangles whose height is five times the length of their bases. Write, but do not evaluate, a definite integral with respect to

y

that gives the volume of the solid formed on

R