Category: Integration

Question Number 46898 by  last updated on 02/Nov/18 $$\int \frac{tanx}{{(tanx+1)}^2-2{tan}^{2}x}dx=??$$ Commented by prof Abdo imad last updated on 02/Nov/18 $${changement}\:{tanx}\:={t}\:{give} \…

Question Number 46854 by maxmathsup by imad last updated on 01/Nov/18 $$find={\int }_0^{\pi }\frac{sinx}{2+cos\left(2x\right)}dx$$ Commented by maxmathsup by imad last updated on 01/Nov/18…

Question Number 46853 by maxmathsup by imad last updated on 01/Nov/18 $$fnd\int \frac{dx}{1+cos\left(tx\right)}$$ Commented by maxmathsup by imad last updated on 01/Nov/18 $${let}\:{A}\left({t}\right)\:=\int\:\:\frac{{dx}}{\mathrm{1}+{cos}\left({tx}\right)}\:\Rightarrow{A}\left({t}\right)\:=_{{tx}={u}} \:\:\:\int\:\:\:\frac{\mathrm{1}}{\mathrm{1}+{cosu}}\:\frac{{du}}{{t}}…

Question Number 46851 by maxmathsup by imad last updated on 01/Nov/18 $$letf\left(x\right)={\int }_0^{2\pi }\frac{sint}{x+sint}dtwithx>1$$$$1)calculatef\left(x\right)$$$$2)calculate{\int }_0^{2\pi }\frac{sint}{{(x+sint)}^2}dt$$$$\left.\mathrm{3}\right){find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{sint}}{\mathrm{2}+{sint}}{dt}\:{and}\:\int_{\mathrm{0}}…

Question Number 46847 by maxmathsup by imad last updated on 01/Nov/18 $$calculate\int {\int }_{0⩽x⩽1and1⩽y⩽2}{e}^{\frac{x}{y}}dxdy$$ Commented by maxmathsup by imad last updated on 04/Nov/18…