Question Number 103593 by mathmax by abdo last updated on 16/Jul/20 $$\mathrm{calculate}\:\:\int_{−\infty} ^{\infty} \:\:\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{x}\:+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{2x}^{\mathrm{2}} \:+\mathrm{5}\right)^{\mathrm{2}} } \\ $$ Answered by mathmax by abdo…
Question Number 103591 by mathmax by abdo last updated on 16/Jul/20 $$\mathrm{calculate}\:\:\int_{\mathrm{3}} ^{+\infty} \:\:\:\:\:\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{3}} \left(\mathrm{x}+\mathrm{2}\right)^{\mathrm{2}} } \\ $$ Commented by Worm_Tail last updated on…
Question Number 169115 by mnjuly1970 last updated on 24/Apr/22 $$ \\ $$$$\:\:\:\:\:\:\:\:\mathrm{Prove}\:\:\:\:\mathrm{that} \\ $$$$\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\Omega=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:{sin}\left({x}\right)}{{e}^{\:{x}} \:−\mathrm{1}}\:{dx}\:\overset{?} {=}\:\frac{\mathrm{1}}{\mathrm{2}}\:\left(\:\pi{coth}\left(\pi\right)\:−\mathrm{1}\:\right) \\ $$$$\:\:\:\:\:\:−−−\:\:{solution}\:−−− \\ $$$$\:\:\:\:\:\:\:\Omega=\:\int_{\mathrm{0}} ^{\:\infty}…
Question Number 169076 by amin96 last updated on 23/Apr/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 169078 by MikeH last updated on 23/Apr/22 Answered by mahdipoor last updated on 23/Apr/22 $$\alpha^{\mathrm{2}} ×\frac{\partial^{\mathrm{2}} {u}}{\partial{x}^{\mathrm{2}} }=\frac{\partial{u}}{\partial{t}}\:\Rightarrow \\ $$$$−\alpha^{\mathrm{2}} \left(\frac{{n}\pi}{{L}}\right)^{\mathrm{2}} {exp}\left(−\frac{{n}^{\mathrm{2}} \alpha^{\mathrm{2}}…
Question Number 103537 by TMSF last updated on 15/Jul/20 $$\int\frac{\mathrm{x}}{\left(\mathrm{a}^{\mathrm{2}} \mathrm{cosx}+\mathrm{b}^{\mathrm{2}} \mathrm{sinx}\right)}\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated on 15/Jul/20 $$\mathrm{let}\:\mathrm{I}\:=\int\:\:\frac{\mathrm{xdx}}{\mathrm{a}^{\mathrm{2}} \mathrm{cosx}\:+\mathrm{b}^{\mathrm{2}}…
Question Number 169073 by MikeH last updated on 23/Apr/22 $$\int\frac{\mathrm{3}{x}}{\left(\mathrm{1}−\mathrm{4}{x}−\mathrm{2}{x}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx} \\ $$ Answered by MJS_new last updated on 24/Apr/22 $$\int\frac{\mathrm{3}{x}}{\left(\mathrm{2}{x}^{\mathrm{2}} +\mathrm{4}{x}−\mathrm{1}\right)^{\mathrm{2}} }{dx}= \\…
Question Number 169054 by MikeH last updated on 23/Apr/22 $$\int\frac{\mathrm{3}{x}}{\left(\mathrm{1}−\mathrm{4}{x}−{x}^{\mathrm{2}} \right)}\:{dx} \\ $$ Answered by haladu last updated on 23/Apr/22 $$\:\: \\ $$$$\:\:\mathrm{1}−\mathrm{4}\boldsymbol{\mathrm{x}}\:−\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:\:=\:\:\mathrm{1}\:\:−\:\left(\:\boldsymbol{\mathrm{x}}\:+\mathrm{2}\:\right)^{\mathrm{2}} −\mathrm{4}\:…
Question Number 169048 by Mathspace last updated on 23/Apr/22 $${find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{lnx}}{{x}^{\mathrm{2}} −{x}+\mathrm{2}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 169049 by Mastermind last updated on 23/Apr/22 $$\int{x}^{\mathrm{2}} {e}^{\frac{{x}^{\mathrm{2}} }{\mathrm{2}}} \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered by Mathspace last updated on 23/Apr/22…