JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

is equal to

View answer and explanation

Correct option: C

\frac{1}{2} \ln ^2\left(x+\sqrt{x^2+1}\right)+c

Option C (

\frac{1}{2} \ln ^2(x+\sqrt{x^2+1})+c

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

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