# It Seems Just Like (corrected)

Calculus Level 3

$\displaystyle \int_{0}^{\pi/4}\dfrac{4\sin^{4}(x)+\sin^{2}(2x)}{4-4\sin^{2}(x)} \mathrm{d}x$

If the value of the integral above can be expressed as $$A-\dfrac{\pi}{B}$$ for positive integers $$A,B$$, find the value of $$A+B$$.

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