Question Number 35217 by abdo.msup.com last updated on 16/May/18 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{x}\:{sin}\left(\mathrm{2}{x}\right)}{{x}^{\mathrm{2}} \:+\mathrm{4}}{dx} \\ $$ Commented by prof Abdo imad last updated on 20/May/18 $${let}\:{put}\:{I}\:=\:\int_{\mathrm{0}}…
Question Number 35215 by abdo mathsup 649 cc last updated on 16/May/18 $${find}\:{the}\:{value}\:{of}\:\:\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{cosx}\:+{cos}\left(\mathrm{2}{x}\right)}{{x}^{\mathrm{2}} \:+\mathrm{9}}{dx} \\ $$ Commented by abdo mathsup 649 cc last…
Question Number 35213 by abdo mathsup 649 cc last updated on 16/May/18 $${find}\:{the}\:{values}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left(\lambda{x}^{\mathrm{2}} \right){dx}\:{and} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:{sin}\left(\lambda{x}^{\mathrm{2}} \right){dx}\:{with}\:\lambda>\mathrm{0}\:. \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{values}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left({x}^{\mathrm{2}}…
Question Number 35214 by abdo mathsup 649 cc last updated on 16/May/18 $${let}\:{a}>\mathrm{0}\:\:{b}\:\in{C}\:{and}\:{Re}\left({b}\right)>\mathrm{0} \\ $$$${cslculate}\:\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{e}^{{iax}} }{{x}−{ib}}{dx}\:\:{and}\:\int_{−\infty} ^{+\infty} \:\:\frac{{e}^{{iax}} }{{x}+{ib}}{dx} \\ $$ Terms of…
Question Number 100746 by Rohit@Thakur last updated on 28/Jun/20 $$\int_{−\infty} ^{\infty} \frac{{cos}\mathrm{3}{x}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx} \\ $$ Answered by mathmax by abdo last updated on 28/Jun/20…
Question Number 35212 by abdo mathsup 649 cc last updated on 16/May/18 $${prove}\:{by}\:{using}\:{series}\:{only}\:{that}\: \\ $$$$\int_{\mathrm{0}} ^{\infty} \:{cos}\left({x}^{\mathrm{2}} \right){dx}=\:\int_{\mathrm{0}} ^{\infty} {sin}\left({x}^{\mathrm{2}} \right){dx}. \\ $$ Terms of…
Question Number 35202 by Cheyboy last updated on 16/May/18 $$\:\int^{} \:\boldsymbol{{e}}^{\mathrm{3}\boldsymbol{{x}}} \sqrt{\mathrm{1}−\boldsymbol{{e}}^{\mathrm{2}\boldsymbol{{x}}} }\boldsymbol{{dx}} \\ $$$$\boldsymbol{{plzz}}\:\boldsymbol{{help}} \\ $$ Answered by ajfour last updated on 16/May/18 $${let}\:{e}^{{x}}…
Question Number 166263 by cortano1 last updated on 17/Feb/22 $$\:\:\:\:\:\:\int_{\:−\frac{\pi}{\mathrm{4}}} ^{\:\frac{\pi}{\mathrm{4}}} \frac{\mathrm{dx}}{\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}\:\sqrt{\mathrm{9}+\mathrm{7}\:\mathrm{tan}\:\mid\mathrm{x}\mid}}\:\mathrm{dx}\:=? \\ $$ Answered by mathsmine last updated on 17/Feb/22 $$=\mathrm{2}\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \frac{{dx}}{{cos}^{\mathrm{2}}…
Question Number 166260 by amin96 last updated on 16/Feb/22 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \boldsymbol{\mathrm{ln}}\left(\boldsymbol{\mathrm{sinx}}+\boldsymbol{\mathrm{cosx}}\right)\boldsymbol{\mathrm{dx}}=? \\ $$$$−−−−−−−−−−−−\boldsymbol{\mathrm{by}}\:\boldsymbol{\mathrm{M}}.\boldsymbol{\mathrm{A}} \\ $$ Answered by Eulerian last updated on 17/Feb/22 $$\: \\…
Question Number 35186 by prof Abdo imad last updated on 16/May/18 $${find}\:\:\int_{\mathrm{0}} ^{\pi} \:\:\:\:\frac{{x}\:{dx}}{\mathrm{3}\:+{cosx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com