Question Number 105440 by Ar Brandon last updated on 28/Jul/20 $$\int\mathrm{tanx}\centerdot\mathrm{tan2x}\centerdot\mathrm{tan3x}\centerdot\mathrm{dx} \\ $$$$\mathrm{Any}\:\mathrm{way}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{without}\:\mathrm{the}\:\mathrm{use}\:\mathrm{of} \\ $$$$\mathrm{partial}\:\mathrm{fractions}? \\ $$ Commented by som(math1967) last updated on 29/Jul/20 $$\mathrm{tan3x}=\frac{\mathrm{tan2x}+\mathrm{tanx}}{\mathrm{1}−\mathrm{tan2xtanx}}…
Question Number 170953 by akolade last updated on 04/Jun/22 Commented by mokys last updated on 04/Jun/22 $$\frac{{xe}^{{x}\sqrt{{x}}} −{sin}^{\mathrm{5}} {x}\:{ln}^{\mathrm{7}} {x}}{\:\sqrt{{tanx}}−{arctan}^{\mathrm{3}} {x}}\:{t}\:+\:{c} \\ $$ Commented by…
Question Number 105412 by john santu last updated on 28/Jul/20 $$\underset{\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\mathrm{ln}\:\left(\mathrm{cos}\:{x}\right)\:{dx} \\ $$ Answered by Dwaipayan Shikari last updated on 28/Jul/20 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 105411 by Ar Brandon last updated on 28/Jul/20 $$\int\frac{{x}^{\mathrm{2}} +\mathrm{3}}{{x}^{\mathrm{6}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)}\mathrm{d}{x} \\ $$$${I}\mathrm{s}\:{there}\:{any}\:{special}\:{method}\:{of}\:{decomposition} \\ $$$${other}\:{than}\:{the}\:{use}\:{of}\:{partial}\:{fractions}\:? \\ $$ Answered by Dwaipayan Shikari last…
Question Number 105399 by mathmax by abdo last updated on 28/Jul/20 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{x}^{\mathrm{2}} \mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{2x}^{\mathrm{2}} \:+\mathrm{3}\right)} \\ $$ Terms of Service Privacy Policy…
Question Number 105393 by john santu last updated on 28/Jul/20 $$\underset{−\pi} {\overset{\pi} {\int}}\:\frac{{x}\:\mathrm{sin}\:{x}\:{dx}}{\left(\mathrm{1}+{x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)\sqrt{\mathrm{3}+\mathrm{sin}\:^{\mathrm{2}} {x}}} \\ $$ Answered by maths mind last updated on 29/Jul/20…
Question Number 105386 by bemath last updated on 28/Jul/20 $$\int\:\frac{{x}^{\mathrm{3}} }{\:\sqrt{\left({a}^{\mathrm{2}} +{x}^{\mathrm{2}} \right)^{\mathrm{3}} }}\:{dx}\: \\ $$ Answered by john santu last updated on 28/Jul/20 $${by}\:{substitute}\:{x}\:=\:{a}\:\mathrm{tan}\:\theta…
Question Number 39840 by math khazana by abdo last updated on 12/Jul/18 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\int_{{x}+\mathrm{1}} ^{{x}^{\mathrm{2}} \:+\mathrm{1}} \:\:{ln}\left(\mathrm{1}+{t}\right)\:{e}^{−{t}} {dt}\: \\ $$ Commented by abdo mathsup 649…
Question Number 39838 by math khazana by abdo last updated on 12/Jul/18 $${find}\:{lim}_{\xi\rightarrow\mathrm{0}} \:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\frac{{dx}}{\:\sqrt{\mathrm{1}+\xi{x}^{\mathrm{2}} }−\sqrt{\mathrm{1}−\xi{x}^{\mathrm{2}} }}\: \\ $$ Commented by maxmathsup by imad…
Question Number 39836 by math khazana by abdo last updated on 12/Jul/18 $${calculate}\:\:\int_{\mathrm{0}} ^{+\infty} \frac{{ln}\left(\mathrm{1}+{ix}^{\mathrm{2}} \right)}{\mathrm{2}+{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact:…