A region in the first quadrant is bounded above by the curve
MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
A region in the first quadrant is bounded above by the curve y=x, below by the x–axis, and on the right by the vertical line x=4. The region is revolved about the horizontal line y=−2 to create a solid of revolution.
(a) Write a definite integral whose value equals the volume of the solid.
(b) Evaluate the integral in part (a) exactly to determine the volume.