JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{(2 x+1)(1+\sqrt{(2 x+1)})}

is equal to

View answer and explanation

Correct option: B

\log _e \frac{\sqrt{2 x+1}}{1+\sqrt{2 x+1}}+c

Option B (

\log _e \frac{\sqrt{2 x+1}}{1+\sqrt{2 x+1}}+c

) is correct because the integral is solved using a substitution and partial fraction decomposition.

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