Question Number 166307 by ArielVyny last updated on 18/Feb/22 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{4}} \left(\mathrm{1}−{x}\right)^{\mathrm{4}} }{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Answered by MJS_new last updated on 18/Feb/22 $$\underset{\mathrm{0}}…
Question Number 35229 by abdo mathsup 649 cc last updated on 16/May/18 $${find}\:{the}\:{value}\:{of}\:{integral} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−\left(\mathrm{2}+{ia}\right)^{\mathrm{2}} {t}^{\mathrm{2}} } {dt}\:\:\:\:{with}\:{a}\:{from}\:{R}\:\:\:\:\mid{a}\mid<\mathrm{1}. \\ $$ Commented by abdo…
Question Number 35228 by abdo mathsup 649 cc last updated on 16/May/18 $${find}\:{the}\:{value}\:{of}\:{integral} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{px}} \:\:\:\frac{{sin}\left({qx}\right)}{\:\sqrt{{x}}}{dx}\:\:{with}\:{p}>\mathrm{0}\:{and}\:{q}>\mathrm{0} \\ $$ Commented by abdo mathsup 649…
Question Number 35225 by abdo mathsup 649 cc last updated on 16/May/18 $$\left.\mathrm{1}\right)\:{find}\:{f}\left({a}\right)\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\:\:\frac{{dt}}{{a}\:{cos}^{\mathrm{2}} {t}\:+\:{sin}^{\mathrm{2}} {t}}\:{with}\:{a}\neq\mathrm{0} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{g}\left({a}\right)\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{{cos}^{\mathrm{2}} {t}}{\left({a}\:{cos}^{\mathrm{2}} {t}\:+{sin}^{\mathrm{2}} {t}\right)^{\mathrm{2}} }{dt}\:…
Question Number 35226 by abdo mathsup 649 cc last updated on 16/May/18 $$\left.\mathrm{1}\right)\:{calculate}\:{f}\left({a}\right)\:=\:\int_{\mathrm{0}} ^{\pi} \:\:\:\:\:\:\:\frac{{dx}}{{a}\:{sin}^{\mathrm{2}} {x}\:\:+{cos}^{\mathrm{2}} {x}} \\ $$$${with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:{g}\left({a}\right)\:=\:\int_{\mathrm{0}} ^{\pi} \:\:\:\frac{{sin}^{\mathrm{2}} {x}}{\left({a}\:{sin}^{\mathrm{2}} {x}\:+{cos}^{\mathrm{2}}…
Question Number 35224 by abdo mathsup 649 cc last updated on 16/May/18 $${calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\:\frac{\mathrm{1}+\mathrm{2}{cost}}{\mathrm{5}+\mathrm{4}{cost}}{dt} \\ $$ Answered by MJS last updated on 17/May/18 $$\int\frac{\mathrm{1}+\mathrm{2cos}\:{t}}{\mathrm{5}+\mathrm{4cos}\:{t}}{dt}=…
Question Number 35218 by abdo.msup.com last updated on 16/May/18 $${prove}\:{that}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{t}^{{a}−\mathrm{1}} }{\mathrm{1}+{t}}{dt}\:=\frac{\pi}{{sin}\left(\pi{a}\right)} \\ $$$${that}\:{we}\:{know}\:\mathrm{0}<{a}<\mathrm{1}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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}}…