# Science:Math Exam Resources/Courses/MATH103/April 2012/Question 02 (b)

MATH103 April 2012
Other MATH103 Exams

### Question 02 (b)

Short answer question. Show in detail how you arrive at your answer (work will be considered for this problem).

Use the formula arc length to find an integral of the form

$\int _{\alpha }^{\beta }h(x)\,dx,$ with suitable $\alpha$ , $\beta$ , and h(x), that represents the circumference of the ellipse

${\frac {y^{2}}{a^{2}}}+{\frac {x^{2}}{b^{2}}}=1,$ where a and b are positive constants. Do not evaluate this integral!

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