\[\int_{{}}^{{}}{\frac{1}{x\sqrt{1+\log x}}\ dx=}\] [Roorkee 1977]

\[\frac{2}{3}{{(1+\log x)}^{3/2}}+c\]

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

1.	\[\int_{{}}^{{}}{\frac{1}{x\sqrt{1+\log x}}\ dx=}\] [Roorkee 1977]
A.	\[\frac{2}{3}{{(1+\log x)}^{3/2}}+c\]
B.	\[{{(1+\log x)}^{3/2}}+c\]
C.	\[2\sqrt{1+\log x}+c\]
D.	\[\sqrt{1+\log x}+c\]
Answer» D. \[\sqrt{1+\log x}+c\]

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\[\int_{{}}^{{}}{\frac{1}{x\sqrt{1+\log x}}\ dx=}\] [Roorkee 1977]

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