Category: Integration

Question Number 92081 by mathmax by abdo last updated on 04/May/20 $${find}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \left({x}^{\mathrm{3}} −\mathrm{3}\right)\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{5}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 26507 by yesaditya22@gmail.com last updated on 26/Dec/17 $$\overset{\Pi} {\int}_{\mathrm{0}} \frac{\mathrm{xsinx}}{\mathrm{1}+\mathrm{cos}^{\mathrm{2}} \mathrm{x}}\mathrm{dx} \\ $$ Answered by kaivan.ahmadi last updated on 26/Dec/17 $$\mathrm{I}=\int_{\mathrm{0}} ^{\pi} \frac{\mathrm{xsinx}}{\mathrm{2}−\mathrm{sin}^{\mathrm{2}}…

Question Number 26486 by A1B1C1D1 last updated on 26/Dec/17 $$\int_{\:−\mathrm{1}} ^{\:\:\mathrm{1}} \frac{\mathrm{xdx}}{\left(\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by kaivan.ahmadi last updated on 26/Dec/17 $$\mathrm{u}=\mathrm{x}^{\mathrm{2}} +\mathrm{1}\Rightarrow\mathrm{du}=\mathrm{2xdx}…

Question Number 91996 by student work last updated on 04/May/20 $$\int\left(\mathrm{arcsinx}\right)^{\mathrm{2}} \mathrm{dx}=? \\ $$ Commented by jagoll last updated on 04/May/20 $$\mathrm{let}\:\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{x}\right)\:=\:\mathrm{t}\: \\ $$$$\mathrm{x}\:=\:\mathrm{sin}\:\mathrm{t}\:\Rightarrow\mathrm{dx}\:=\:\mathrm{cos}\:\mathrm{t}\:\mathrm{dt}\:…

Question Number 91990 by Power last updated on 04/May/20 Commented by mathmax by abdo last updated on 04/May/20 $${I}\:=\int\:\frac{{x}^{\mathrm{3}} −\mathrm{6}}{{x}^{\mathrm{4}} \:+\mathrm{6}{x}\:+\mathrm{8}}\:\Rightarrow\:{I}\:=\frac{\mathrm{1}}{\mathrm{4}}\int\:\:\frac{\mathrm{4}{x}^{\mathrm{3}} −\mathrm{24}}{{x}^{\mathrm{4}} \:+\mathrm{6}{x}\:+\mathrm{8}}{dx}\:\Rightarrow \\ $$$$\mathrm{4}{I}\:=\int\frac{\mathrm{4}{x}^{\mathrm{3}}…