^ -1 (1 x )dx equals: - Vidyadip

MCQ

$\int\cos^{-1}(\frac{1}{\text{x}})\text{dx}$ equals:

A
$\text{x}\sec^{-1}\text{x}+\log|\text{x}+\sqrt{\text{x}^2-1}|+\text{c}$
✓
$\text{x}\sec^{-1}\text{x}-\log|\text{x}+\sqrt{\text{x}^2-1}|+\text{c}$
C
$-\text{x}\sec^{-1}\text{x}-\log|\text{x}+\sqrt{\text{x}^2-1}|+\text{c}$
D
None of these

✓

Answer

Correct option: B.

$\text{x}\sec^{-1}\text{x}-\log|\text{x}+\sqrt{\text{x}^2-1}|+\text{c}$

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