MathematicsHard210×since 2002Q3367The value of the integral ∫01xcot−1(1−x2+x4)dx\int\limits_0^1 {x{{\cot }^{ - 1}}(1 - {x^2} + {x^4})dx}0∫1xcot−1(1−x2+x4)dx is :-Aπ2−12loge2{\pi \over 2} - {1 \over 2}{\log _e}22π−21loge2Bπ4−loge2{\pi \over 4} - {\log _e}24π−loge2Cπ4−12loge2{\pi \over 4} - {1 \over 2}{\log _e}24π−21loge2Dπ2−loge2{\pi \over 2} - {\log _e}22π−loge2Check answerSkip