JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of the integral

\int\limits_{0}^1 x \cot ^{-1}\left(1-x^2+x^4\right) d x

is:

View answer and explanation

Correct option: B

\frac{\pi}{4}-\log _e 2

Option D (

\frac{\pi}{4}-\frac{1}{2} \log _e 2

) is correct because the integral is solved by using trigonometric identities and substitution.

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