# I like integrals 3

Calculus Level 4

$\large \int_{-\pi/2}^{\pi /2} \dfrac{ab^2 \cos x}{ (a^2 \sin^2 x + b^2 \cos^2 x)^{3/2} } \, dx$

Evaluate the integral above for positive constants $$a$$ and $$b$$.

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