JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

is equal to

View answer and explanation

Correct option: C

-\frac{1}{3}\left(1+\frac{1}{x^2}\right)^{3 / 2}+c

Option C (

\frac{-1}{3}(1+\frac{1}{x^2})^{3 / 2}+c

) is correct because it is the result of integrating the given expression using substitution.

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