JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

\int \frac{x^3-1}{x^3+x} d x

is equal to

View answer and explanation

Correct option: B

x-\log x+\frac{1}{2} \log \left(x^2+1\right)-\tan ^{-1} x+C

Option B (

x-\log x+\frac{1}{2} \log \left(x^2+1\right)-\tan ^{-1} x+C

) is correct because it is the result of integrating the given expression after partial fraction decomposition.

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