# Integrate with sin cos #2

Calculus Level 5

$\large{\displaystyle \int^{\frac{\pi}{4}}_{0} (\sin 2 \theta)^{\frac{5}{2}} (\sin \theta+\cos \theta) \, d\theta=\frac{A}{B} \pi}$

If $$A$$ and $$B$$ are coprime integers, find $$A+B$$.

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