Question Number 85739 by Jakir Sarif Mondal last updated on 24/Mar/20
$$\mathrm{If}\:{F}\:\left({x}\right)=\underset{{x}^{\mathrm{2}} } {\overset{{x}^{\mathrm{3}} } {\int}}\:\mathrm{log}\:{t}\:{dt}\:\:\left({x}>\mathrm{0}\right),\:\mathrm{then}\:{F}\:'\left({x}\right)= \\ $$
Answered by john santu last updated on 24/Mar/20
$${F}\:'\left({x}\right)=\:\mathrm{3}{x}^{\mathrm{2}} \:\mathrm{log}\:\left({x}^{\mathrm{3}} \right)−\mathrm{2}{x}\:\mathrm{log}\:\left({x}^{\mathrm{2}} \right) \\ $$