Question Number 42704 by maxmathsup by imad last updated on 01/Sep/18 $${f}\left({x}\right)\:\:=\:\:\frac{{e}^{\mathrm{3}{x}} \:+{e}^{−\mathrm{3}{x}} }{\mathrm{2}} \\ $$$$\left.\mathrm{1}\right)\:{determine}\:{f}^{−\mathrm{1}} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:{x}\:{f}\left({x}\right){dx}\:\:\:\:{and}\:\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx} \\ $$$$\left.\mathrm{3}\right)\:\:{calculate}\:\:\:\int\:\:{f}^{−\mathrm{1}}…
Question Number 42695 by prof Abdo imad last updated on 31/Aug/18 $${calculate}\:\:\int_{−\infty} ^{+\infty} \:\:\:\:\frac{{x}^{\mathrm{4}} }{{x}^{\mathrm{8}\:} \:+\mathrm{16}}{dx} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 42680 by prof Abdo imad last updated on 31/Aug/18 $${calculale}\:\:{A}_{{n}} \left(\alpha\right)\:=\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{cos}\left(\alpha{x}^{{n}} \right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\:{with} \\ $$$${n}\:{integr}\:{natural}. \\ $$$$ \\ $$ Commented by…
Question Number 42679 by maxmathsup by imad last updated on 31/Aug/18 $${calculate}\:\:\:\:\int_{\frac{\pi}{\mathrm{4}}} ^{\frac{\pi}{\mathrm{3}}} \:\:\:\:\:\:\frac{{sinx}}{{cosx}\:+{tanx}}{dx}\:. \\ $$ Commented by Meritguide1234 last updated on 03/Sep/18 Commented by…
Question Number 108175 by bemath last updated on 15/Aug/20 Commented by bemath last updated on 15/Aug/20 $${a}\:{man}\:\mathrm{6}\:{feet}\:{tall}\:{walks}\:{at}\:{a}\:{rate}\:\mathrm{6}\:{feet}\: \\ $$$${per}\:{second}\:{away}\:{from}\:{a}\:{light}\:{that}\: \\ $$$${is}\:\mathrm{15}\:{feet}\:{above}\:{the}\:{ground}. \\ $$$${When}\:{he}\:{is}\:\mathrm{10}\:{feet}\:{from}\:{the}\:{base}\:{of}\:{the}\:{light} \\ $$$${at}\:{what}\:{rate}\:{is}\:{the}\:{tip}\:{of}\:{his}\:{shadow}…
Question Number 42631 by maxmathsup by imad last updated on 29/Aug/18 $${let}\:{f}\left({x}\right)=\mathrm{2}\sqrt{{x}−\mathrm{1}}\:−\mathrm{2}{x} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{D}_{{f}} \\ $$$$\left.\mathrm{2}\right)\:{study}\:{the}\:{variation}\:{of}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{3}\:\right)\:{calculate}\:\:\int_{\mathrm{1}} ^{\mathrm{3}} \:{f}\left({x}\right){dx} \\ $$$$\left.\mathrm{4}\right)\:{determine}\:{f}^{−\mathrm{1}} \left({x}\right)\:{and}\:{calculate}\:\:\:\int_{\mathrm{1}} ^{\mathrm{3}} \:{f}^{−\mathrm{1}}…
Question Number 108169 by bemath last updated on 15/Aug/20 $$\:\:\:\:\:\:\frac{\checkmark\mathcal{B}{e}\mathcal{M}{ath}\checkmark}{\succ\prec} \\ $$$$\int\:\frac{{x}^{\mathrm{5}} −{x}}{{x}^{\mathrm{8}} −\mathrm{1}}\:{dx}\:? \\ $$ Answered by Dwaipayan Shikari last updated on 15/Aug/20 $$\int\frac{{x}\left({x}^{\mathrm{4}}…
Question Number 42629 by prof Abdo imad last updated on 29/Aug/18 $${find}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{{sin}\left({nx}\right)}{{sh}\left(\mathrm{2}{nx}\right)}{dx}\:\:{with}\:{n}\:{natural}\:{integr} \\ $$$${not}\:\mathrm{0}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 42630 by prof Abdo imad last updated on 29/Aug/18 $${let}\:{f}\left({x}\right)\:=\:{e}^{{x}} −\mathrm{2}\sqrt{{x}−\mathrm{3}} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{f}^{−\mathrm{1}} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:\int\:\:{f}^{−\mathrm{1}} \left({t}\right){dt}\: \\ $$ Terms of Service Privacy…
Question Number 42628 by prof Abdo imad last updated on 29/Aug/18 $${calculate}\:\:{I}\:\:=\:\int_{\frac{\pi}{\mathrm{3}}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\:\:\frac{{cos}\left(\mathrm{2}{x}\right)}{{sin}\left({x}\right)+{cosx}}{dx}\:{and} \\ $$$${J}\:=\int_{\frac{\pi}{\mathrm{3}}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{sin}\left(\mathrm{2}{x}\right)}{{sin}\left({x}\right)\:+{cos}\left({x}\right)}{dx} \\ $$ Commented by maxmathsup by imad…