# Hot integral

Calculus Level 3

Let $$\displaystyle \int \cos(2016x) \sin^{2014} x \, dx = f(x) + C$$, where $$C$$ is the constant of integration and $$f(0)=0$$. Evaluate $$\displaystyle \int_\pi ^{2\pi} f(x) \, dx$$.

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