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

MATH101 April 2005
Other MATH101 Exams

### Question 02 (d)

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

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

and bounded below by

${\displaystyle \displaystyle y=2-x}$.

Express the length of the upper curve that bounds ${\displaystyle \displaystyle R}$ 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.

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