JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{\mathrm{d} x}{4-3 \cos ^2 x+5 \sin ^2 x}=\frac{1}{3} f(3 \tan x)+C

, then

f(x)

is equal to

View answer and explanation

Correct option: D

\tan ^{-1} x

Option D (\tan^-1 x\\) is correct. Dividing by \cos² x and substituting \

t = \tan x

simplifies the integral to a standard arctangent form.

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