1.

\[\int_{{}}^{{}}{\sqrt{1+{{x}^{2}}}\ dx=}\] [MP PET 1987, 89]

A.            \[\frac{x}{2}\sqrt{1+{{x}^{2}}}+\frac{1}{2}\log (x+\sqrt{1+{{x}^{2}}})+c\]
B.            \[\frac{2}{3}{{(1+{{x}^{2}})}^{3/2}}+c\]
C.            \[\frac{2}{3}x{{(1+{{x}^{2}})}^{3/2}}+c\]                                     
D.            None of these
Answer» B.            \[\frac{2}{3}{{(1+{{x}^{2}})}^{3/2}}+c\]


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