The value of the integral \\int ^{1}_{0}x \cot ^{-1} (1-x^{2}+x^{4} ) d x is [9 Apr 2019 Shift 2]

Correct Answer is : π4− 12loge2

\frac{\\pi}{2}- \frac{1}{2} \log _{e} 2

\frac{\\pi}{4}- \frac{1}{2} \log _{e} 2

JEE Main 9 Apr 2019 Paper 2 Solved Paper

Section: Mathematics

Question : 79 of 90

Marks: +1, -0

The value of the integral

∫

xcot−1 (1−x2+x4)dx is

[9 Apr 2019 Shift 2]

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