Question Number 153200 by amin96 last updated on 05/Sep/21 $$\int_{\mathrm{0}} ^{{e}−\mathrm{1}} \int_{\mathrm{0}} ^{{e}−{x}−\mathrm{1}} \int_{\mathrm{0}} ^{{x}+{y}+{e}} \frac{{ln}\left({z}−{x}−{y}\right)}{\left({x}−{e}\right)\left({x}+{y}−{e}\right)}{dxdydz}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 87669 by john santu last updated on 05/Apr/20 $$\int_{\mathrm{2}} ^{\:\:\mathrm{e}} \left(\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{x}}−\frac{\mathrm{1}}{\mathrm{ln}^{\mathrm{2}} \mathrm{x}}\right)\:\mathrm{dx}? \\ $$ Commented by mathmax by abdo last updated on 05/Apr/20…
Question Number 153151 by puissant last updated on 05/Sep/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{ln}\left({x}^{\mathrm{3}} +\mathrm{1}\right)}{{x}+\mathrm{1}}{dx} \\ $$ Answered by Ar Brandon last updated on 05/Sep/21 $${I}=\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 87585 by Power last updated on 05/Apr/20 Answered by redmiiuser last updated on 05/Apr/20 $${arc}\mathrm{sin}\:{x}+\mathrm{arccos}\:{x}=\frac{\pi}{\mathrm{2}} \\ $$$$\mathrm{arcsin}\:{x}.\mathrm{arccos}\:{x}=\frac{\pi}{\mathrm{2}}\mathrm{arcsin}\:{x}−\left(\mathrm{arcsin}\:{x}\right)^{\mathrm{2}} \\ $$$$\mathrm{arcsin}\:{x}={t} \\ $$$${dx}=\mathrm{cos}\:{t}.{dt} \\ $$$${x}=\mathrm{sin}\:{t}…
Question Number 153117 by peter frank last updated on 04/Sep/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{cot}^{−\mathrm{1}} \left(\mathrm{1}−\mathrm{x}+\mathrm{x}^{\mathrm{2}} \right)\mathrm{dx} \\ $$ Answered by puissant last updated on 04/Sep/21 $${I}=\int_{\mathrm{0}}…
Question Number 153112 by peter frank last updated on 04/Sep/21 $$\int_{−\pi} ^{\pi} \left(\mathrm{sin}\:^{\mathrm{75}} \mathrm{x}+\mathrm{x}^{\mathrm{125}} \right)\mathrm{dx}=\mathrm{0} \\ $$ Answered by puissant last updated on 04/Sep/21 $$\int_{−{a}}…
Question Number 153114 by peter frank last updated on 04/Sep/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{log}\:\left(\mathrm{1}+\mathrm{x}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{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 153111 by peter frank last updated on 04/Sep/21 $$\int_{−\mathrm{1}} ^{\mathrm{1}} \mathrm{e}^{\mathrm{x}} \:\mathrm{dx}\:\mathrm{as}\:\mathrm{limit}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sum} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 153110 by peter frank last updated on 04/Sep/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \left(\mathrm{3x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{1}\right)\mathrm{dx}\: \\ $$$$\mathrm{as}\:\mathrm{the}\:\mathrm{limit}\:\:\mathrm{of}\:\mathrm{sum} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 153104 by amin96 last updated on 04/Sep/21 $$\int_{\mathrm{0}} ^{\pi} \frac{{x}^{\mathrm{3}} }{{x}^{\mathrm{3}} +\left(\pi−{x}\right)^{\mathrm{3}} }{dx}=? \\ $$ Answered by puissant last updated on 04/Sep/21 $${I}=\int_{\mathrm{0}}…