\[\int_{{}}^{{}}{\frac{dx}{2\sqrt{x}(1+x)}=}\] [RPET 2002]

1.	\[\int_{{}}^{{}}{\frac{dx}{2\sqrt{x}(1+x)}=}\] [RPET 2002]
A.	\[\frac{1}{2}{{\tan }^{-1}}(\sqrt{x})+c\]
B.	\[{{\tan }^{-1}}(\sqrt{x})+c\]
C.	\[2{{\tan }^{-1}}(\sqrt{x})+c\]
D.	None of these
Answer» C. \[2{{\tan }^{-1}}(\sqrt{x})+c\]

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\[\int_{{}}^{{}}{\frac{dx}{2\sqrt{x}(1+x)}=}\] [RPET 2002]

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