Question Number 102790 by bobhans last updated on 11/Jul/20 $${I}=\mathrm{2}\underset{\mathrm{0}} {\overset{\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}} {\int}}\:\frac{\mathrm{sin}^{−\mathrm{1}} \left({x}\right)}{{x}}\:{dx}\:−\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{tan}^{−\mathrm{1}} \left({x}\right)}{{x}}\:{dx}\: \\ $$ Answered by bramlex last updated on 11/Jul/20…
Question Number 168320 by Florian last updated on 07/Apr/22 $$\:\:\:\int\frac{\left({arcsin}\left({x}\right)\right)^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{2}} }{dx}=??? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 168311 by Florian last updated on 07/Apr/22 $${Calculate}\int\frac{\left({arcsin}\left({x}\right)\right)^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Commented byFlorian last updated on 07/Apr/22 $$???????????????????????? \\ $$ Commented bymr…
Question Number 37243 by math khazana by abdo last updated on 11/Jun/18 $${find}\:{f}\:\left({t}\right)\:=\int_{\mathrm{0}} ^{\infty} \:{e}^{{x}} {ln}\left(\mathrm{1}+{e}^{−{tx}} \right){dx}\:{with}\:{t}\:>\mathrm{0}\:. \\ $$$$\left.\mathrm{2}\right)\:{let}\:{u}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{{x}} {ln}\left(\mathrm{1}+{e}^{−{nx}} \right)\:{dx} \\…
Question Number 37237 by abdo.msup.com last updated on 11/Jun/18 $${calculate}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\:\frac{{cos}\theta.{sin}\theta}{{cos}\theta\:+{sin}\theta}\:{d}\theta\:. \\ $$ Commented by abdo.msup.com last updated on 27/Jul/18 $${changement}\:{tan}\left(\frac{\theta}{\mathrm{2}}\right)={t}\:{give} \\ $$$${I}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 37235 by abdo.msup.com last updated on 11/Jun/18 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \sqrt{\mathrm{4}{sin}^{\mathrm{2}} {t}\:+{cos}^{\mathrm{2}} \left({t}\right)}\:\:{dt} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 11/Jun/18 $$\int_{\mathrm{0}} ^{\frac{\Pi}{\mathrm{2}}}…
Question Number 37236 by abdo.msup.com last updated on 11/Jun/18 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mid{sin}\left(\frac{{kt}}{\mathrm{2}}\right)\mid\:{dt}\:\:{with}\:{k}\:{integr} \\ $$$${and}\:{k}\geqslant\mathrm{3} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 37233 by abdo.msup.com last updated on 11/Jun/18 $${calculate} \\ $$$$\int_{−\infty} ^{+\infty} \:\:\left(\frac{\mathrm{1}+{ix}}{\mathrm{1}−{ix}}\right)^{{m}−{n}} \:\:\:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\:\:{with}\:{m}\:{and}\:{n} \\ $$$${integrs}\: \\ $$ Terms of Service Privacy Policy…
Question Number 168303 by Mathspace last updated on 07/Apr/22 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {x}\sqrt{\mathrm{1}−{x}^{\mathrm{6}} }{dx} \\ $$ Answered by peter frank last updated on 07/Apr/22 $$\mathrm{check}\:\mathrm{Qn}\:\mathrm{168231} \\…
Question Number 168296 by Florian last updated on 07/Apr/22 $$\int\left(\mathrm{5}{x}+\mathrm{2}\right){cos}\left(\mathrm{2}{x}\right){dx}=? \\ $$ Answered by floor(10²Eta[1]) last updated on 07/Apr/22 $$\mathrm{u}=\mathrm{5x}+\mathrm{2}\Rightarrow\mathrm{du}=\mathrm{5dx} \\ $$$$\mathrm{dv}=\mathrm{cos}\left(\mathrm{2x}\right)\mathrm{dx}\Rightarrow\mathrm{v}=\frac{\mathrm{sin}\left(\mathrm{2x}\right)}{\mathrm{2}} \\ $$$$=\frac{\left(\mathrm{5x}+\mathrm{2}\right)\mathrm{sin}\left(\mathrm{2x}\right)}{\mathrm{2}}−\frac{\mathrm{5}}{\mathrm{2}}\int\mathrm{sin}\left(\mathrm{2x}\right)\mathrm{dx} \\…