Science:Math Exam Resources/Courses/MATH200/December 2012/Question 07 (c)/Statement

Let

$I=\int _{0}^{4}\int _{\sqrt {4}}^{\sqrt {8-y}}f(x,y)\,dx\,dy.$

(c) Evaluate the integral for $f(x,y)={\frac {1}{(1+y)^{2}}}$

Hint: You may use ${\frac {1}{9-x^{2}}}={\frac {1}{6}}\left({\frac {1}{x+3}}-{\frac {1}{x-3}}\right)$