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 $${I}=\int_{\mathrm{0}}…
Question Number 87556 by M±th+et£s last updated on 05/Apr/20 Commented by jagoll last updated on 05/Apr/20 $$\mathrm{x}^{\mathrm{3}} −\mathrm{2x}^{\mathrm{2}} +\mathrm{7x}−\mathrm{1}\:=\:\mathrm{a}\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} + \\ $$$$\mathrm{b}\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} +\mathrm{c}\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} \left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} +…
Question Number 87543 by Power last updated on 04/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 87538 by Power last updated on 04/Apr/20 Commented by mathmax by abdo last updated on 04/Apr/20 $${I}\:=\int_{−\mathrm{1}} ^{\mathrm{1}} \:{f}^{−\mathrm{1}} \left({x}\right){dx}\:\:\:{changement}\:{f}^{−\mathrm{1}} \left({x}\right)={t}\:{give}\:{x}\:={f}\left({t}\right)\Rightarrow \\ $$$${dx}\:={f}^{'}…
Question Number 87540 by Power last updated on 04/Apr/20 Commented by abdomathmax last updated on 05/Apr/20 $${let}\:\:{I}\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)^{\mathrm{2}} }\:{changement}\:{x}\:={sh}\left({t}\right)\:{give} \\ $$$${I}\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{ch}\left({t}\right)\:{dt}}{\left({sh}\left({t}\right)+{cht}\right)^{\mathrm{2}}…
Question Number 87534 by mathmax by abdo last updated on 04/Apr/20 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\frac{{arctan}\left({sinx}\right)}{{sinx}}{dx} \\ $$ Commented by mathmax by abdo last updated on 06/Apr/20…
Question Number 87526 by mathmax by abdo last updated on 04/Apr/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−\left[{nx}\right]} \:{dx} \\ $$ Commented by mathmax by abdo last updated on…