# Cos, it's deceiving

**Calculus**Level 5

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

Evaulate \(\displaystyle 15I \).

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

Evaulate \(\displaystyle 15I \).

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