Question Number 92088 by mathmax by abdo last updated on 04/May/20 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left({cosx}\right)\:\:{and}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:{ln}\left({sinx}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 92087 by mathmax by abdo last updated on 04/May/20 $$\:{calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}}{dx} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 92082 by mathmax by abdo last updated on 04/May/20 $${let}\:{f}\left(\alpha\right)\:=\int_{\mathrm{0}} ^{\mathrm{1}} {x}\sqrt{{x}^{\mathrm{2}} −{x}+\alpha}{dx}\:\:\:\:\:\:{with}\:\alpha>\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\left.\mathrm{1}\right)\:{explicit}\:\:{f}\left(\alpha\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{g}\left(\alpha\right)\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{xdx}}{\:\sqrt{{x}^{\mathrm{2}} −{x}+\alpha}} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:{intehrals}\:\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 92081 by mathmax by abdo last updated on 04/May/20 $${find}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \left({x}^{\mathrm{3}} −\mathrm{3}\right)\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{5}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 92078 by mathmax by abdo last updated on 04/May/20 $${calculate}\:\int_{−\infty} ^{+\infty} \:\frac{{cos}\left({arctan}\left(\mathrm{2}{x}+\mathrm{1}\right)\right)}{{x}^{\mathrm{2}} +{x}+\mathrm{1}}{dx} \\ $$ Commented by abdomathmax last updated on 09/May/20 $${I}\:=\int_{−\infty}…
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 $$\mathrm{I}=\int_{\mathrm{0}} ^{\pi} \frac{\mathrm{xsinx}}{\mathrm{2}−\mathrm{sin}^{\mathrm{2}}…
Question Number 26495 by yesaditya22@gmail.com last updated on 26/Dec/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26486 by A1B1C1D1 last updated on 26/Dec/17 $$\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 26463 by sanyam soni last updated on 25/Dec/17 $$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mathrm{cos}^{\mathrm{2}} \theta\mathrm{sin}\:\theta{d}\theta \\ $$ Commented by abdo imad last updated on 25/Dec/17 $$\left.=\:−\frac{\mathrm{1}}{\mathrm{3}}{cos}_{\theta}…
Question Number 91996 by student work last updated on 04/May/20 $$\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}\:…