indefinite-integration

Question: If $\int_{{}}^{{}}{\frac{1}{(1+x)\sqrt{x}}\ dx=f(x)+A}$, where A is any arbitrary constant, then the function $f(x)$ is

1) $2{{\tan }^{-1}}x$

2) $2{{\tan }^{-1}}\sqrt{x}$

3) $2{{\cot }^{-1}}\sqrt{x}$

4) ${{\log }_{e}}(1+x)$

Solution:

Explanation: No Explanation

Integration by substitution

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