JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

\int \sqrt{x-3}\left\{\sin ^{-1}(\ln x)+\cos ^{-1}(\ln x)\right\} d x

is equal to

View answer and explanation

Correct option: C

Does not exist

The correct answer is D (Does not exist) because the domain of

\sin^{-1}(\ln x) + \cos^{-1}(\ln x)

is restricted to

-1 \leq \ln x \leq 1

, which is not always true.

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