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AP® Calculus AB-BC

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Difficult

Rewriting Integrals to Solve: Complex Trig Function Rewrite

APCALC-V1H1NB

Integrate:

$$\int{\cfrac{sin^3(x)+cos^3(x)}{sin^2(x)cos^2(x)}dx}$$

A

$sec(x)+csc(x)+C$

B

$sec(x)-csc(x)+C$

C

$-sec(x)+csc(x)+C$

D

$-sec(x)-csc(x)+C$