definite-integral

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



1) $\frac{1}{3\log x}-\frac{1}{2\log x}$
2) $\frac{1}{3\log x}$
3) $\frac{3{{x}^{2}}}{3\log x}$
4) ${{(\log x)}^{-1}}.x(x-1)$
Solution: Explanation: No Explanation
Summation of series by definite Integration

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