Determine the order of integration and then evaluate the integral

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Nov 15th 2010, 11:01 PM
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.
Nov 16th 2010, 12:53 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.

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