JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

\int \frac{x^2-1}{x \sqrt{x^4+3 x^2+1}} d x

is equal to

View answer and explanation

Correct option: A

\log _e\left|x+\frac{1}{x}+\sqrt{x^2+\frac{1}{x^2}+3}\right|+C

Option A (

\log _e\left|x+\frac{1}{x}+\sqrt{x^2+\frac{1}{x^2}+3}\right|+C

) is correct because after dividing by

x^2

and completing the square, the integral can be solved using a standard logarithmic form.

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{C}

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