Category: Integration

Question Number 70230 by ozodbek last updated on 02/Oct/19 Commented by Kunal12588 last updated on 02/Oct/19 $${Is}\:{it}\:\int{x}^{{x}^{{x}} } {x}^{{x}} {x}\:{dx}\:? \\ $$ Commented by Kunal12588…

Question Number 135737 by Ar Brandon last updated on 15/Mar/21 $$\int_{−\mathrm{2}\pi} ^{\mathrm{4}\pi} \frac{\mathrm{3}}{\mathrm{5}−\mathrm{4cosx}}\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated on 15/Mar/21 $$\Phi=\int_{−\mathrm{2}\pi}…

Question Number 135693 by liberty last updated on 15/Mar/21 $$\Omega\:=\:\int\:\frac{{x}−\mathrm{1}}{\left({x}−\mathrm{2}\right)\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{2}\right)^{\mathrm{2}} }\:{dx}\: \\ $$ Answered by MJS_new last updated on 15/Mar/21 $$\int\frac{{x}−\mathrm{1}}{\left({x}−\mathrm{2}\right)\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{2}\right)^{\mathrm{2}} }{dx}= \\…

Question Number 135673 by liberty last updated on 14/Mar/21 $$\int\:\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}^{\mathrm{4}} +{x}^{\mathrm{2}} +\mathrm{1}}\:{dx}\: \\ $$ Answered by Olaf last updated on 15/Mar/21 $$\Omega\:=\:\int\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}^{\mathrm{4}} +{x}^{\mathrm{2}}…

Question Number 4575 by FilupSmith last updated on 08/Feb/16 $$\int_{{a}} ^{\:\infty} \frac{\mathrm{1}}{{x}}{dx}=\infty \\ $$$$ \\ $$$$\int_{{a}} ^{\:\infty} \lfloor\frac{\mathrm{1}}{{x}}\rfloor{dx}={S} \\ $$$${a}>\mathrm{0} \\ $$$$ \\ $$$$\mathrm{Is}\:{S}\:\mathrm{finite}?\:\mathrm{Can}\:\mathrm{you}\:\mathrm{solve}\:\mathrm{for}\:{S}? \\…