The derivative of \[F(x)=\int_{{{x}^{2}}}^{{{x}^{3}}}{\frac{1}{\log t}\,dt}\], \[(x>0)\] is

\[\frac{1}{3\log x}-\frac{1}{2\log x}\]

The derivative of \[F(x)=\int_{{{x}^{2}}}^{{{x}^{3}}}{\frac{1}{\log t}

1.	The derivative of \[F(x)=\int_{{{x}^{2}}}^{{{x}^{3}}}{\frac{1}{\log t}\,dt}\], \[(x>0)\] is
A.	\[\frac{1}{3\log x}-\frac{1}{2\log x}\]
B.	\[\frac{1}{3\log x}\]
C.	\[\frac{3{{x}^{2}}}{3\log x}\]
D.	\[{{(\log x)}^{-1}}.x(x-1)\]
Answer» E.

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The derivative of \[F(x)=\int_{{{x}^{2}}}^{{{x}^{3}}}{\frac{1}{\log t}\,dt}\], \[(x>0)\] is

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