If x > a, dx x^2-a^2 = - Vidyadip

MCQ

If $x > a, \int\frac{\text{dx}}{\text{x}^2-\text{a}^2}=$

✓
$\frac{2}{2\text{a}}\text{log }\frac{\text{x-a}}{\text{x+a}}+\text{k}$
B
$\frac{2}{2\text{a}}\text{log }\frac{\text{x+a}}{\text{x-a}}+\text{k}$
C
$\frac{1}{\text{a}}\text{log}(\text{x}^2-\text{a}^2)+\text{k}$
D
$\log(\text{x}+\sqrt{\text{x}^2-\text{a}^2}+\text{k})$

✓

Answer

Correct option: A.

$\frac{2}{2\text{a}}\text{log }\frac{\text{x-a}}{\text{x+a}}+\text{k}$

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