# Determine the order of integration and then evaluate the integral

• November 16th 2010, 12:01 AM
downthesun01
Determine the order of integration and then evaluate the integral
$\int_{0}^{4}\int_{x}^{4}\frac{sin(y)}{y}dydx$

How do you go about doing problems like this? Thanks.
• November 16th 2010, 01:53 AM
mr fantastic
Quote:

Originally Posted by downthesun01
$\int_{0}^{4}\int_{x}^{4}\frac{sin(y)}{y}dydx$

How do you go about doing problems like this? Thanks.

Reverse the order of integration. To get the new integral terminals, I suggest you draw appropriate graphs and shade the region of integration.