Question Number 60311 by aliesam last updated on 19/May/19 $$\int\frac{{dx}}{\:\sqrt{{sec}\:{h}^{\mathrm{2}} \left({x}\right)+\mathrm{1}}}\:{dx} \\ $$ Commented by MJS last updated on 20/May/19 $$\mathrm{sech}\:{x}=\frac{\mathrm{1}}{\mathrm{cosh}\:{x}} \\ $$ Commented by…
Question Number 125841 by bramlexs22 last updated on 14/Dec/20 $${Given}\:{f}\left({x}\right)={f}\left({x}+\mathrm{2}\right)\:\forall{x}\in\mathbb{R} \\ $$$${if}\:\underset{\mathrm{0}} {\overset{\mathrm{2}} {\int}}{f}\left({x}\right){dx}={k}\:{then}\:\underset{\mathrm{0}} {\overset{\mathrm{1010}} {\int}}{f}\left({x}+\mathrm{2}{a}\right){dx}\:? \\ $$$${for}\:{a}\in\mathbb{Z}\: \\ $$ Commented by mr W last…
Question Number 191369 by mnjuly1970 last updated on 23/Apr/23 $$ \\ $$$$\:\:\:{calculate} \\ $$$$ \\ $$$$\:\:\:\:\:\boldsymbol{\phi}=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:\:{sin}\left(\frac{{n}\pi}{\mathrm{3}}\:\right)}{\left(\mathrm{2}{n}\:+\:\mathrm{1}\:\right)^{\:\mathrm{2}} }=\:? \\ $$$$ \\ $$ Answered by…
Question Number 191342 by mnjuly1970 last updated on 23/Apr/23 $$ \\ $$$$\:\:\:\:{calculate}… \\ $$$$\:\Omega\:=\left\{\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \left(\:\:\mathrm{1}\:+\:\sqrt{\mathrm{3}}\:{sin}\left({x}\right)\:+\:{cos}\left({x}\right)\:\right)^{\:{n}} {dx}\right\}^{\frac{\mathrm{1}}{{n}}} =\:? \\ $$$$ \\ $$$$ \\ $$ Answered…
Question Number 60264 by maxmathsup by imad last updated on 19/May/19 $${let}\:{f}\left({t}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{e}^{−\mathrm{3}\:\left[{x}^{\mathrm{2}} \right]} }{{x}^{\mathrm{2}} \:+{t}^{\mathrm{2}} }{dx}\:\:{with}\:{t}>\mathrm{0} \\ $$$$\mathrm{1}.\:{determine}\:{a}\:{explicit}\:{form}\:{of}\:{f}\left({t}\right) \\ $$$$\mathrm{2}.\:{find}\:{also}\:{g}\left({t}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{e}^{−\mathrm{3}\left[{x}^{\mathrm{2}} \right]}…
Question Number 60263 by maxmathsup by imad last updated on 19/May/19 $${let}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{e}^{−{n}\left[{x}^{\mathrm{2}} \right]} }{{x}^{\mathrm{2}} +\mathrm{3}}\:{dx}\: \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{U}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{n}\:{U}_{{n}} \\…
Question Number 60234 by aliesam last updated on 19/May/19 Answered by ajfour last updated on 19/May/19 $$\mathrm{z}=\mathrm{x}−\mathrm{c} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 191303 by Mingma last updated on 22/Apr/23 Answered by mahdipoor last updated on 22/Apr/23 $$\int{f}\left({x}\right)=\int{xf}^{'} \left({x}\right)−\sqrt{\mathrm{2}{x}−{x}^{\mathrm{2}} }=\left[{xf}\left({x}\right)−\int{f}\left({x}\right)\right]−\int\sqrt{\mathrm{2}{x}−{x}^{\mathrm{2}} } \\ $$$$\Rightarrow\int_{\mathrm{0}} ^{\:\mathrm{1}} {f}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{2}}\left[{xf}\left({x}\right)\right]_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 125711 by TITA last updated on 13/Dec/20 $$\:\mathrm{I}=\int\frac{\mathrm{cos}\:\mathrm{2x}}{\mathrm{1}+\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}\mathrm{dx}\:=?\:\:\mathrm{please}\:\mathrm{help} \\ $$$$ \\ $$ Answered by bramlexs22 last updated on 13/Dec/20 $${let}\:\mathrm{tan}\:\left({x}\right)=\:{t}\:\wedge\:{dt}\:=\:\frac{{dx}}{\mathrm{cos}\:^{\mathrm{2}} {x}} \\…
Question Number 60170 by necx1 last updated on 18/May/19 $$\int{x}\mathrm{sec}\:^{\mathrm{3}} {xdx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com