indefinite-integration

Question: $\int_{{}}^{{}}{\frac{dx}{\sqrt{{{x}^{2}}-{{a}^{2}}}}}$ equals

1) ${{\sin }^{-1}}\left( \frac{x}{a} \right)+c$

2) ${{\log }_{e}}|x+\sqrt{{{x}^{2}}-{{a}^{2}}}|+c$

3) ${{\log }_{e}}|x-\sqrt{{{x}^{2}}-{{a}^{2}}}|+c$

4) $\frac{x\sqrt{{{x}^{2}}-{{a}^{2}}}}{2+c}$

Solution:

Explanation: No Explanation

Fundamental integration

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