Category: Integration

Question Number 38706 by abdo mathsup 649 cc last updated on 28/Jun/18 $$letf\left(x\right)={\int }_0^{\frac{\pi }{2}}\frac{d\theta }{1+x{e}^{i\theta }}with\mid x\mid <1$$$$1)developpf\left(x\right)atintegrserie$$$$2)calculatef\left(x\right)$$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{e}^{{i}\theta} }{\left(\mathrm{1}+{x}\:{e}^{{i}\theta}…

Question Number 104197 by mathmax by abdo last updated on 20/Jul/20 $$\mathrm{calculate}{\int }_5^{+\mathrm{\infty }}\frac{\mathrm{dx}}{{({\mathrm{x}}^2-9)}^4}$$ Answered by Dwaipayan Shikari last updated on…

Question Number 104180 by mohammad17 last updated on 19/Jul/20 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 169677 by cortano1 last updated on 06/May/22 $$M=\int \frac{dx}{(x-4)\sqrt{x^2-6x+8}}=?$$ Answered by MJS_new last updated on 06/May/22 $$\int \frac{dx}{(x+c)\sqrt{x^2+ax+b}}=$$$$\:\:\:\:\:\left[{t}=\sqrt{{x}^{\mathrm{2}} +{ax}+{b}}+{x}+\frac{{a}}{\mathrm{2}}\:\rightarrow\:{dx}=\frac{\sqrt{{x}^{\mathrm{2}}…

Question Number 104104 by bemath last updated on 19/Jul/20 $$\int \frac{x{\tan }^{-1}\left(x\right)}{\sqrt{1+x^2}}dx?$$ Answered by OlafThorendsen last updated on 19/Jul/20 $$\mathrm{By}\mathrm{parts}:$$$$\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\mathrm{arctan}{x}−\int\sqrt{\mathrm{1}+{x}^{\mathrm{2}}…