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Question Number 85280 by Jakir Sarif Mondal last updated on 20/Mar/20
∫10cot−1(1−x+x2)dx=
Answered by mind is power last updated on 20/Mar/20
=∫01tan−(11−x(1−x))dx=∫01tan−(1−x+x1−x(1−x))dx=∫01(tan−(1−x)+tan−(x))dx=2∫01tan−(x)dx=2[xtan−(x)−ln(1+x2)]01=π2−ln(2)
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