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Single Variable Calculus

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Difficult

Integration by Parts: $x$ Times a Tangent Function

SVCALC-A19SSW

Evaluate the integral

$$\int x \tan^2 x dx$$

A

$x^2\tan x + \ln |\cos x| -\frac{1}{2}x^2+ C$

B

$x\tan x - \ln (\cos x) -\frac{1}{2}x^2+ C$

C

$x^2\tan^2 x + C$

D

$x\tan^3 x - \ln |\sin x| +\frac{1}{2}x^2+ C$