Question Number 156663 by KONE last updated on 13/Oct/21
$${calcul}\:\int_{\mathrm{0}} ^{\mathrm{10}} {e}^{{x}−{E}\left({x}\right)} {dx}\:\left({E}\:{la}\:{partie}\:{entiere}\right) \\ $$$${besoin}\:{d}'{aide} \\ $$
Commented by benhamimed last updated on 14/Oct/21
$$=\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}{e}^{{x}} {dx}+\underset{\mathrm{1}} {\overset{\mathrm{2}} {\int}}{e}^{{x}−\mathrm{1}} {dx}+\underset{\mathrm{2}} {\overset{\mathrm{3}} {\int}}{e}^{{x}−\mathrm{2}} {dx}+...+\underset{\mathrm{9}} {\overset{\mathrm{10}} {\int}}{e}^{{x}−\mathrm{9}} {dx}+\mathrm{1} \\ $$$$=\mathrm{10}\left({e}−\mathrm{1}\right)+\mathrm{1} \\ $$
Commented by KONE last updated on 14/Oct/21
$${waaooo}\:{merci}\:{bien} \\ $$