Question Number 125876 by bramlexs22 last updated on 14/Dec/20 Commented by liberty last updated on 15/Dec/20 $${W}\:=\:\underset{{n}\rightarrow\infty} {\mathrm{Lim}}\:\underset{{i}\:=\:\mathrm{1}} {\overset{{n}} {\sum}}\rho{A}\left({x}_{{i}} ^{\ast} \right)\Delta{x}\:\:\:\:\:\:\: \\ $$$${W}\:=\:\underset{{n}\rightarrow\infty} {\mathrm{Lim}}\:\underset{{i}\:=\:\mathrm{1}}…
Question Number 60335 by maxmathsup by imad last updated on 20/May/19 $${find}\:{I}_{{n}} =\:\int\:\:{x}^{{n}} \:{arctan}\left({x}\right){dx}\:\:{with}\:{n}\:{integr}\:{natural}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 125858 by bramlexs22 last updated on 14/Dec/20 Commented by mr W last updated on 14/Dec/20 $$\mathrm{13}×\mathrm{26}×\mathrm{2}×\mathrm{62}.\mathrm{4}×\mathrm{1}=\mathrm{42}\:\mathrm{182}\:{ft}−{lb} \\ $$ Commented by bramlexs22 last updated…
Question Number 60320 by Sardor2211 last updated on 19/May/19 Commented by maxmathsup by imad last updated on 20/May/19 $${let}\:{I}\:=\int\:\:\frac{{x}^{\mathrm{3}} −\mathrm{5}{x}^{\mathrm{2}} \:+\mathrm{5}{x}\:+\mathrm{23}}{\left({x}^{\mathrm{2}} −\mathrm{1}\right)\left({x}−\mathrm{5}\right)}{dx}\:\:{let}\:{decompose}\:{F}\left({x}\right)\:=\frac{{x}^{\mathrm{3}} −\mathrm{5}{x}^{\mathrm{2}} \:+\mathrm{5}{x}\:+\mathrm{23}}{\left({x}^{\mathrm{2}} −\mathrm{1}\right)\left({x}−\mathrm{5}\right)}…
Question Number 60318 by Sardor2211 last updated on 19/May/19 Commented by kaivan.ahmadi last updated on 20/May/19 $${we}\:{find}\:{I}=\int{x}^{\mathrm{2}} {arctgx}\:{dx}\:{then}\:{multiply}\:\mathrm{4} \\ $$$${u}={arctgx}\Rightarrow{du}=\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$$${dv}={x}^{\mathrm{2}} {dx}\Rightarrow{v}=\frac{{x}^{\mathrm{3}} }{\mathrm{3}}…
Question Number 60319 by Sardor2211 last updated on 19/May/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 60311 by aliesam last updated on 19/May/19 $$\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…