Science:Math Exam Resources/Courses/MATH200/April 2012/Question 06 (b)/Hint 1

Using the solution of part (a), we calculate the integral

$\displaystyle \int _{-1}^{2}\int _{x^{2}}^{x+2}{\frac {\exp(x)}{2-x}}\;{\text{d}}y{\text{d}}x$

It make sense to use the order of integration, where we first integrate with respect to $\displaystyle y$, since integration with respect to $\displaystyle x$ first is very hard with this integrand.