JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

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

is equal to

View answer and explanation

Correct option: D

\frac{1}{\sqrt{2}} \operatorname{Cos}^{-1} \frac{x \sqrt{2}}{x^2+1}+c

Option D is correct because the integral simplifies to an inverse cosine form after dividing by x² and using a substitution.

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