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

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

C

$3\sec ^{3}x \tan x+C$

D

$\cfrac{1}{2}\left ( \sec x \tan x+\ln\left | \sec x+\tan x \right | \right )+C$