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

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

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

and bounded below by

$\displaystyle y=2-x$.

Express the length of the upper curve that bounds $\displaystyle R$ as a definite integral, and using an appropriate substitution express your answer as an integral involving trigonometric functions. You do not need to evaluate this trigonometric integral.