Category: Integration

Question Number 109097 by bobhans last updated on 21/Aug/20 $$\frac{\mathbf{♭}\mathit{o}\mathbf{♭}\mathit{h}\mathit{a}\mathit{n}\mathit{s}}{\sim \sim \sim \sim \sim }$$$$\underset{1}{\stackrel{2}{\int }}x{\sec }^{-1}\left(x\right)dx=?$$ Answered by john santu last updated on 21/Aug/20…

Question Number 43550 by peter frank last updated on 11/Sep/18 $$provethat$$$$\int_{\:} \:\mathrm{4}_{\:\:\:\:\:} ^{\mathrm{4}^{\mathrm{4}^{{x}} } } .\mathrm{4}^{\mathrm{4}^{{x}} } .\mathrm{4}^{{x}} {dx}=\frac{\mathrm{4}^{\mathrm{4}^{{x}} } }{\left(\mathrm{log}\:\underset{{e}} {\mathrm{4}}\right)} \…

Question Number 43539 by abdo.msup.com last updated on 11/Sep/18 $$calculate\int {\int }_{0⩽x⩽1,0⩽y⩽1}(x+2y)e^{2x-y}dxdy$$ Commented by maxmathsup by imad last updated on 16/Sep/18 $${let}\:{consider}\:{the}\:{diffeomorphisme}\:\left({u},{v}\right)\:\rightarrow\varphi\left({u},{v}\right)=\left(\varphi_{\mathrm{1}} \left({u},{v}\right),\varphi_{\mathrm{2}}…

Question Number 174610 by Brahimmekkaoui last updated on 05/Aug/22 $$findthevalueofthisintegral:$$$$I={\int }_0^{\mathrm{\infty }}\frac{{tan}^{-1}\left(x\right)}{1+x+x^2}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 43517 by Raj Singh last updated on 11/Sep/18 Commented by maxmathsup by imad last updated on 11/Sep/18 $${let}\:{I}\:=\:\int\:\:\frac{{x}^{\mathrm{3}} \:+\mathrm{1}}{{x}^{\mathrm{2}} −\mathrm{5}{x}\:+\mathrm{6}}\:{dx}\:\Rightarrow{I}\:=\:\int\:\:\frac{{x}\left({x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{6}\:\right)+\mathrm{5}{x}^{\mathrm{2}} −\mathrm{6}{x}\:+\mathrm{1}}{{x}^{\mathrm{2}} −\mathrm{5}{x}\:+\mathrm{6}}{dx}…