# Thread: Determine the order of integration and then evaluate the integral

1. ## 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.

2. 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.