What is the value of _ 0 ^ 1 d dx ^ -1 ( 2x 1+x^2 ) dx ? - Vidyadip

MCQ

What is the value of $\int_{0}^{1}\frac{\text{d}}{\text{dx}}\{\sin^{-1}(\frac{2\text{x}}{1+\text{x}^2})\}\text{dx}\ ?$

A
$0$
B
$\pi$
C
$-\pi$
✓
$\frac{\pi}{2}$

✓

Answer

Correct option: D.

$\frac{\pi}{2}$

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