JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

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Correct option: A

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

Option A (

x \log _e(x+\sqrt{x^2-1})-\sqrt{x^2-1}+c

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

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