\[\int_{{}}^{{}}{\frac{dx}{\sqrt{{{x}^{2}}+{{a}^{2}}}}}\] is equal to [MP PET 2004]

\[\log (x-\sqrt{{{x}^{2}}+{{a}^{2}}})+c\]

\[\frac{1}{2}x\sqrt{{{x}^{2}}+{{a}^{2}}}+\frac{1}{2}{{a}^{2}}\log (x+\sqrt{{{x}^{2}}+{{a}^{2}}})+c\]

\[\frac{1}{2}\log ({{x}^{2}}+{{a}^{2}})+c\]

\[\log (x+\sqrt{{{x}^{2}}+{{a}^{2}}})+c\]

\[\int_{{}}^{{}}{\frac{dx}{\sqrt{{{x}^{2}}+{{a}^{2}}}}}\] is equal to�

1.	\[\int_{{}}^{{}}{\frac{dx}{\sqrt{{{x}^{2}}+{{a}^{2}}}}}\] is equal to [MP PET 2004]
A.	\[\frac{1}{2}x\sqrt{{{x}^{2}}+{{a}^{2}}}+\frac{1}{2}{{a}^{2}}\log (x+\sqrt{{{x}^{2}}+{{a}^{2}}})+c\]
B.	\[\frac{1}{2}\log ({{x}^{2}}+{{a}^{2}})+c\]
C.	\[\log (x+\sqrt{{{x}^{2}}+{{a}^{2}}})+c\]
D.	\[\log (x-\sqrt{{{x}^{2}}+{{a}^{2}}})+c\]
Answer» D. \[\log (x-\sqrt{{{x}^{2}}+{{a}^{2}}})+c\]

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\[\int_{{}}^{{}}{\frac{dx}{\sqrt{{{x}^{2}}+{{a}^{2}}}}}\] is equal to [MP PET 2004]

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