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**1. The problem statement, all variables and given/known data**

[tex]\int[/tex] [tex]\frac{3cosx-10sinx}{10cosx+3sinx}[/tex] from -pi/3 to pi/3

**2. Relevant equations**

some sort of identity maybe?

**3. The attempt at a solution**

well...I made the mistake of saying the answer was zero since it's an odd function (yes, i know this is ridiculously not right) and so incurred the wrath of my calculus teacher. if someone can help me get started on this then maybe I can salvage something resembling a grade.