The value of \[\int_{{}}^{{}}{\frac{dx}{\sqrt{x}\,(x+9)}dx}\] is equal to [Pb. CET 2002]

\[{{\tan }^{-1}}\left( \frac{\sqrt{x}}{3} \right)\]

\[\frac{2}{3}{{\tan }^{-1}}\sqrt{x}\]

\[\frac{2}{3}{{\tan }^{-1}}\left( \frac{\sqrt{x}}{3} \right)\]

The value of \[\int_{{}}^{{}}{\frac{dx}{\sqrt{x}\,(x+9)}dx}\] is equal

1.	The value of \[\int_{{}}^{{}}{\frac{dx}{\sqrt{x}\,(x+9)}dx}\] is equal to [Pb. CET 2002]
A.	\[{{\tan }^{-1}}\sqrt{x}\]
B.	\[{{\tan }^{-1}}\left( \frac{\sqrt{x}}{3} \right)\]
C.	\[\frac{2}{3}{{\tan }^{-1}}\sqrt{x}\]
D.	\[\frac{2}{3}{{\tan }^{-1}}\left( \frac{\sqrt{x}}{3} \right)\]
Answer» E.

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The value of \[\int_{{}}^{{}}{\frac{dx}{\sqrt{x}\,(x+9)}dx}\] is equal to [Pb. CET 2002]

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