Science:Math Exam Resources/Courses/MATH101/April 2005/Question 02 (c)/Statement

Let $\displaystyle R$ be the finite region bounded above by the curve

$\displaystyle y=4-x^{2}$

and bounded below by

$\displaystyle y=2-x$.

Express the volume of the solid obtained by rotating $\displaystyle R$ about the vertical line $\displaystyle x=2$ as a definite integral. You do not need to simplify or evaluate this integral.