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Definite Integration question

2019 · 9 Apr · Shift 2 · Q22

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PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 9 Apr · Shift 2 · Q22

Definite Integration question

2019 · 9 Apr · Shift 2 · Q22

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int\limits_0^1 {x{{\cot }^{ - 1}}(1 - {x^2} + {x^4})dx}

is :-

A
${\pi \over 2} - {1 \over 2}{\log _e}2$
B
${\pi \over 4} - {\log _e}2$
C
${\pi \over 4} - {1 \over 2}{\log _e}2$
D
${\pi \over 2} - {\log _e}2$

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