1.

\[\int_{{}}^{{}}{\frac{dx}{\sqrt{1+x}+\sqrt{x}}=}\]

A.            \[\frac{2}{3}{{(1+x)}^{2/3}}-\frac{2}{3}{{x}^{2/3}}+c\]               
B.            \[\frac{3}{2}{{(1+x)}^{2/3}}+\frac{3}{2}{{x}^{2/3}}+c\]
C.            \[\frac{3}{2}{{(1+x)}^{3/2}}+\frac{3}{2}{{x}^{3/2}}+c\]              
D.            \[\frac{2}{3}{{(1+x)}^{3/2}}-\frac{2}{3}{{x}^{3/2}}+c\]
Answer» E.


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