^ -1 xdx is equal to: - Vidyadip

MCQ

$\int\sin^{-1}\text{xdx}$ is equal to:

A
$\cos^{-1}\text{x}+\text{c}$
B
$\text{x}\sin^{-1}\text{x}+\sqrt{1-\text{x}^2}+\text{c}$
C
$\frac{1}{\sqrt{1-\text{x}^2}}+\text{c}$
✓
$\text{x}\sin^{-1}\text{x}-\sqrt{1-\text{x}^2}+\text{c}$

✓

Answer

Correct option: D.

$\text{x}\sin^{-1}\text{x}-\sqrt{1-\text{x}^2}+\text{c}$

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