The value of \[\int{\frac{\sqrt{({{x}^{2}}-{{a}^{2}})}}{x}dx}\] will be [UPSEAT 1999]

\[\sqrt{({{x}^{2}}-{{a}^{2}})}\,+a{{\tan }^{-1}}\left[ \frac{\sqrt{({{x}^{2}}-{{a}^{2}})}}{a} \right]\]

\[\sqrt{({{x}^{2}}-{{a}^{2}})}\,-a{{\tan }^{-1}}\left[ \frac{\sqrt{({{x}^{2}}-{{a}^{2}})}}{a} \right]\]

\[\sqrt{({{x}^{2}}-{{a}^{2}})}\,+{{a}^{2}}{{\tan }^{-1}}[\sqrt{{{x}^{2}}-{{a}^{2}}}]\]

The value of \[\int{\frac{\sqrt{({{x}^{2}}-{{a}^{2}})}}{x}dx}\] will b

1.	The value of \[\int{\frac{\sqrt{({{x}^{2}}-{{a}^{2}})}}{x}dx}\] will be [UPSEAT 1999]
A.	\[\sqrt{({{x}^{2}}-{{a}^{2}})}\,-a{{\tan }^{-1}}\left[ \frac{\sqrt{({{x}^{2}}-{{a}^{2}})}}{a} \right]\]
B.	\[\sqrt{({{x}^{2}}-{{a}^{2}})}\,+a{{\tan }^{-1}}\left[ \frac{\sqrt{({{x}^{2}}-{{a}^{2}})}}{a} \right]\]
C.	\[\sqrt{({{x}^{2}}-{{a}^{2}})}\,+{{a}^{2}}{{\tan }^{-1}}[\sqrt{{{x}^{2}}-{{a}^{2}}}]\]
D.	\[{{\tan }^{-1}}x/a+c\]
Answer» B. \[\sqrt{({{x}^{2}}-{{a}^{2}})}\,+a{{\tan }^{-1}}\left[ \frac{\sqrt{({{x}^{2}}-{{a}^{2}})}}{a} \right]\]

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The value of \[\int{\frac{\sqrt{({{x}^{2}}-{{a}^{2}})}}{x}dx}\] will be [UPSEAT 1999]

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