JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \frac{x^2-1}{\left(x^2+1\right) \sqrt{x^4+1}} d x

, is equal to

View answer and explanation

Correct option: A

\frac{1}{\sqrt{2}} \sec ^{-1}\left(\frac{x^2+1}{\sqrt{2} x}\right)+C

Option A (

\frac{{1}}{{\sqrt{{2}}}} \sec ^{-1}(\frac{{x^2+1}}{{\sqrt{{2}} x}})+C

) is correct because the integral simplifies to this expression after dividing by

x^2

and using a suitable substitution.

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