If \[\int_{{}}^{{}}{\frac{1}{(1+x)\sqrt{x}}\ dx=f(x)+A}\], where A is any arbitrary constant, then the function \[f(x)\] is [MP PET 1998]

If \[\int_{{}}^{{}}{\frac{1}{(1+x)\sqrt{x}}\ dx=f(x)+A}\], where A is

1.	If \[\int_{{}}^{{}}{\frac{1}{(1+x)\sqrt{x}}\ dx=f(x)+A}\], where A is any arbitrary constant, then the function \[f(x)\] is [MP PET 1998]
A.	\[2{{\tan }^{-1}}x\]
B.	\[2{{\tan }^{-1}}\sqrt{x}\]
C.	\[2{{\cot }^{-1}}\sqrt{x}\]
D.	\[{{\log }_{e}}(1+x)\]
Answer» C. \[2{{\cot }^{-1}}\sqrt{x}\]

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If \[\int_{{}}^{{}}{\frac{1}{(1+x)\sqrt{x}}\ dx=f(x)+A}\], where A is any arbitrary constant, then the function \[f(x)\] is [MP PET 1998]

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