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Author: Tinku Tara

1-e-x-9e-x-dx-

Question Number 132641 by aurpeyz last updated on 15/Feb/21 $$\int\frac{\mathrm{1}}{{e}^{{x}} +\mathrm{9}{e}^{−{x}} }{dx} \\ $$ Answered by MJS_new last updated on 15/Feb/21 $${t}=\mathrm{e}^{{x}} \:\rightarrow\:{dx}=\frac{{dt}}{{t}} \\ $$$$\int\frac{{dt}}{{t}^{\mathrm{2}}…

find-the-area-abounded-y-x-afind-y-x-2-

Question Number 67106 by mhmd last updated on 22/Aug/19 $${find}\:{the}\:{area}\:{abounded}\:{y}=\sqrt{{x}} \\ $$$${afind}\:{y}={x}−\mathrm{2}? \\ $$ Commented by kaivan.ahmadi last updated on 24/Aug/19 $${x}−\mathrm{2}=\sqrt{{x}}\Rightarrow{x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{4}=\mathrm{0}\Rightarrow\left({x}−\mathrm{1}\right)\left({x}−\mathrm{4}\right)=\mathrm{0}\Rightarrow \\ $$$$\begin{cases}{{x}=\mathrm{1}}\\{{x}=\mathrm{2}}\end{cases}…

How-does-one-use-the-following-notation-It-s-new-to-my-understanding-of-using-only-one-sigma-sign-For-e-g-j-1-m-i-1-n-i-1-j-1-

Question Number 1566 by 112358 last updated on 20/Aug/15 $${How}\:{does}\:{one}\:{use}\:{the}\:{following} \\ $$$${notation}?\:{It}'{s}\:{new}\:{to}\:{my}\: \\ $$$${understanding}\:{of}\:{using}\:{only} \\ $$$${one}\:{sigma}\:{sign}. \\ $$$${For}\:{e}.{g}\:\:\:\:\:\:\:\:\underset{{j}=\mathrm{1}} {\overset{{m}} {\sum}}\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}\left({i}+\mathrm{1}\right)\left({j}−\mathrm{1}\right) \\ $$ Commented…