JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

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

, is

View answer and explanation

Correct option: B

\left\{\log _e\left(x+\sqrt{x^2+1}\right)\right\}^2+C

Option B is correct because the integral is solved by recognizing the derivative of the logarithmic term and applying a simple substitution.

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