JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

The value of

\int \frac{x d x}{\sqrt{1+x^2+\sqrt{\left(1+x^2\right)^3}}}

is equal to:

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because it is the result of a u-substitution that simplifies the integral.

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