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AP® Calculus AB-BC

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Integration Using the Secant Function

APCALC-FDEREY

Find the antiderivative, $\int \sec ^{3}xdx$.

A

$\cfrac{1}{4}sec^{4}x+C$

B

$\tan x\left ( ln\left | secx+tanx \right | \right )+C$

C

$3\sec ^{3}xtanx+C$

D

$\cfrac{1}{2}\left ( secxtanx+ln\left | secx+tanx \right | \right )+C$