JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

The value of

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

equals:

View answer and explanation

Correct option: A

\sqrt{1+x^2} \ell n \left(x+\sqrt{1+x^2}\right)-x+C

Option A (

\sqrt{1+x^2} \ell n \left(x+\sqrt{1+x^2}\right)-x+C

) is correct because it is the result of integration by parts applied to the given integral.

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