indefinite-integration

Question: $\int_{{}}^{{}}{\frac{dx}{2\sqrt{x}(1+x)}=}$

1) $\frac{1}{2}{{\tan }^{-1}}(\sqrt{x})+c$

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

3) $2{{\tan }^{-1}}(\sqrt{x})+c$

4) None of these

Solution:

Explanation: No Explanation

Integration by substitution

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