Cos, it's deceiving

Calculus Level 5

I=0π2cos(8x)cos(7x)1+2cos(5x) dx \large I = \int_0^{\frac{\pi }{2}} \frac{\cos (8x) - \cos (7x)}{1 + 2 \cos (5x) } \text{ d}x

Evaulate 15I\displaystyle 15I .

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