A) \[(9{{x}^{2}}-4x)\log x\]
B) \[(4x-9{{x}^{2}})\log x\]
C) \[(9{{x}^{2}}+4x)\log x\]
D) None of these
Correct Answer: A
Solution :
\[F(x)=\int_{{{x}^{2}}}^{{{x}^{3}}}{\log t\,dt}\] Applying Leibnitz?s theorem, \[F\,'(x)=\log {{x}^{3}}.\frac{d}{dx}{{x}^{3}}-\log {{x}^{2}}.\frac{d}{dx}{{x}^{2}}\] \[=3\log x.3{{x}^{2}}-2\log x.2x\] \[=(9{{x}^{2}}-4x)\log x\].You need to login to perform this action.
You will be redirected in
3 sec