Category: Integration

Question Number 153117 by peter frank last updated on 04/Sep/21 $${\int }_0^1{\cot }^{-1}(1-\mathrm{x}+{\mathrm{x}}^2)\mathrm{dx}$$ Answered by puissant last updated on 04/Sep/21 $${I}=\int_{\mathrm{0}}…

Question Number 153114 by peter frank last updated on 04/Sep/21 $${\int }_0^1\frac{\log (1+\mathrm{x})}{1+{\mathrm{x}}^2}\mathrm{dx}$$ Answered by puissant last updated on 04/Sep/21 $${x}={tan}\left({u}\right)\:\rightarrow\:{dx}=\mathrm{1}+{tan}^{\mathrm{2}} {udu}…

Question Number 153110 by peter frank last updated on 04/Sep/21 $${\int }_0^1({3\mathrm{x}}^2+2\mathrm{x}+1)\mathrm{dx}$$$$\mathrm{as}\mathrm{the}\mathrm{limit}\mathrm{of}\mathrm{sum}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 87556 by M±th+et£s last updated on 05/Apr/20 Commented by jagoll last updated on 05/Apr/20 $${\mathrm{x}}^3-{2\mathrm{x}}^2+7\mathrm{x}-1=\mathrm{a}{(\mathrm{x}-2)}^2+$$$$\mathrm{b}\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} +\mathrm{c}\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} \left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} +…

Question Number 87538 by Power last updated on 04/Apr/20 Commented by mathmax by abdo last updated on 04/Apr/20 $$I={\int }_{-1}^1{f}^{-1}\left(x\right)dxchangement{f}^{-1}\left(x\right)=tgivex=f\left(t\right)\Rightarrow$$$${dx}\:={f}^{'}…