Category: Integration

Question Number 130149 by liberty last updated on 22/Jan/21 $$\mathrm{\Re }=\int \sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+\dots }}}}dx$$$$\mathrm{\Im }={\int }_0^1\frac{\ell \mathrm{n}x}{x+1}dx$$ Answered by MJS_new last updated on 22/Jan/21 $$\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+…}}}=\frac{\mathrm{1}}{\mathrm{2}}+\frac{\sqrt{\mathrm{4}{x}+\mathrm{1}}}{\mathrm{2}} \…

Question Number 130132 by bait last updated on 22/Jan/21 $$solve\int {\int }_G(7x-y)dxdy,whereGisgivenbyy=0$$$$x+2y=3,x=y^2$$$$$$$$iwanttoknowiftheintegralbelowisacorrect$$$$representationoftheintegralabove.$$$$\:\left(\underset{\mathrm{0}} {\overset{\frac{\mathrm{3}}{\mathrm{2}}} {\int}}\underset{\mathrm{0}} {\overset{\frac{\mathrm{9}}{\mathrm{4}}} {\int}}\left(\mathrm{7}{x}−{y}\right){dxdy}\right).…

Question Number 130133 by talminator2856791 last updated on 22/Jan/21 $$$$$$$$$$\mathrm{solve}\mathrm{for}x$$$$$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:{x}} \underset{{m}=\mathrm{0}} {\overset{\lceil{x}\rceil} {\sum}}{x}^{\mathrm{ln}\:{m}+\mathrm{1}} \:{dx}\:=\:{x}^{\mathrm{2}} \:,\: \…

Question Number 64559 by aliesam last updated on 19/Jul/19 Commented by mathmax by abdo last updated on 20/Jul/19 $${let}\:{I}\:=\int_{\frac{\mathrm{1}}{{e}}} ^{{e}} \sqrt{\frac{\mathrm{1}−\left({lnx}\right)^{\mathrm{2}} }{{x}}}{dx}\:\Rightarrow{I}\:=\int_{\frac{\mathrm{1}}{{e}}} ^{{e}} \sqrt{\mathrm{1}−\left({lnx}\right)^{\mathrm{2}} }\frac{{dx}}{\:\sqrt{{x}}}…

Question Number 64529 by mathmax by abdo last updated on 19/Jul/19 $$calculate{\int }_1^2\frac{dx}{\sqrt{x}}byRiemansum.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com