Category: Integration

Question Number 35238 by abdo.msup.com last updated on 17/May/18 $$studytheconvergenceof$$$${\int }_1^{+\mathrm{\infty }}\frac{e^{-3x}-e^{-2x}}{x^2}dx$$ Commented by prof Abdo imad last…

Question Number 35229 by abdo mathsup 649 cc last updated on 16/May/18 $$findthevalueofintegral$$$${\int }_0^{\mathrm{\infty }}{e}^{-{(2+ia)}^2{t}^2}dtwithafromR\mid a\mid <1.$$ Commented by abdo…

Question Number 35225 by abdo mathsup 649 cc last updated on 16/May/18 $$1)findf\left(a\right)={\int }_0^{2\pi }\frac{dt}{a{cos}^{2}t+{sin}^{2}t}witha\ne 0$$$$\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 35224 by abdo mathsup 649 cc last updated on 16/May/18 $$calculate{\int }_0^{2\pi }\frac{1+2cost}{5+4cost}dt$$ Answered by MJS last updated on 17/May/18 $$\int\frac{\mathrm{1}+\mathrm{2cos}\:{t}}{\mathrm{5}+\mathrm{4cos}\:{t}}{dt}=…

Question Number 35217 by abdo.msup.com last updated on 16/May/18 $$calculate{\int }_0^{\mathrm{\infty }}\frac{xsin\left(2x\right)}{x^2+4}dx$$ Commented by prof Abdo imad last updated on 20/May/18 $${let}\:{put}\:{I}\:=\:\int_{\mathrm{0}}…