# When will the holidays come 2

Calculus Level 4

$\large \displaystyle\int_0^{\pi} x \sin^6(x) \cos^4(x) \, dx$

If the integral above equals to $$\dfrac{a\pi^2}b$$ where $$a$$ and $$b$$ are coprime integers, then find the value of $$\dfrac{a+b}{5}$$.

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