JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

\int \frac{\tan x}{\sqrt{\sin ^4 x+\cos ^4 x}} d x

is equal to

View answer and explanation

Correct option: B

\frac{1}{2} \log _e\left(\tan ^2 x+\sqrt{1+\tan ^4 x}\right)+C

The correct answer is B (

\frac{1}{2} \log _e\left(\tan ^2 x+\sqrt{1+\tan ^4 x}\right)+C

) because after simplification and substitution, the integral matches the form of the integral of

\frac{1}{\sqrt{x^2+1}}

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