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

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

$y=4-x^2$

and bounded below by

$y=2-x$.

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