JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

\int \tan x \tan 2 x \tan 3 x \,d x

is equal to

View answer and explanation

Correct option: B

\frac{1}{3} \log |\sec 3 x|-\frac{1}{2} \log |\sec 2 x|-\log |\sec x|+C

Option B is correct because using the identity

\tan 3x = \tan(2x+x)

and simplifying the integral, we get

\frac{1}{3} \log |\sec 3 x|-\frac{1}{2} \log |\sec 2 x|-\log |\sec x|+C

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