Category: Integration

Question Number 60346 by necx1 last updated on 20/May/19 $$\int x\sec {}^{3}xdx$$$$pleasehelp$$ Commented by kaivan.ahmadi last updated on 20/May/19 $${first}\:\int{sec}^{\mathrm{3}} {x}\:{dx}=\left(\frac{{tgx}}{{cosx}}+{ln}\mid{secx}+{tgx}\mid\right)/\mathrm{2} \…

Question Number 60335 by maxmathsup by imad last updated on 20/May/19 $$find{I}_n=\int x^{n}arctan\left(x\right)dxwithnintegrnatural.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

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 60319 by Sardor2211 last updated on 19/May/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 125841 by bramlexs22 last updated on 14/Dec/20 $$Givenf\left(x\right)=f(x+2)\mathrm{\forall }x\in \mathbb{R}$$$$if\underset{0}{\stackrel{2}{\int }}f\left(x\right)dx=kthen\underset{0}{\stackrel{1010}{\int }}f(x+2a)dx?$$$$fora\in \mathbb{Z}$$ Commented by mr W last…