JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

The value of the integral

$0 \int 1 x cot^{- 1} (1 - x^{2} + x^{4}) d x$ is :

A
$\frac{π}{4} - lo g_{e} 2$
B
$\frac{π}{2} - lo g_{e} 2$
C
$\frac{π}{2} - \frac{1}{2} lo g_{e} 2$
D
$\frac{π}{4} - \frac{1}{2} lo g_{e} 2$

Solution

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