JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \tan ^4 x d x=A \tan ^3 x+B \tan x+f(x)

, then

View answer and explanation

Correct option: A

A=\frac{1}{3}, B=-1, f(x)=x+C

Option A is correct because

\int \tan^4 x dx = \frac{\tan^3 x}{3} - \tan x + x + C

, which matches the form

A \tan^3 x + B \tan x + f(x)

with

A=\frac{1}{3}, B=-1, f(x)=x+C

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