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Category: Integration

dx-x-2-x-3-1-1-3-

Question Number 104388 by Ar Brandon last updated on 21/Jul/20 $$\int\frac{\mathrm{d}{x}}{{x}^{\mathrm{2}} \sqrt[{\mathrm{3}}]{{x}^{\mathrm{3}} −\mathrm{1}}} \\ $$ Answered by Dwaipayan Shikari last updated on 21/Jul/20 $$\int\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{3}} \left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}}…

Evaluate-e-2x-3y-dxdy-over-the-triangle-bounded-by-the-lines-x-0-y-0-x-y-1-

Question Number 169906 by MikeH last updated on 12/May/22 $$\mathrm{Evaluate}\:\int\int{e}^{\mathrm{2}{x}+\mathrm{3}{y}} {dxdy}\:\mathrm{over}\:\mathrm{the}\:\mathrm{triangle} \\ $$$$\mathrm{bounded}\:\mathrm{by}\:\mathrm{the}\:\mathrm{lines}\:{x}\:=\:\mathrm{0},\:{y}\:=\:\mathrm{0},\:{x}+{y}\:=\:\mathrm{1}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

0-1-ln-1-x-x-dx-

Question Number 169873 by sciencestudent last updated on 11/May/22 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\frac{{ln}\left(\mathrm{1}+{x}\right)}{{x}}{dx}=? \\ $$ Answered by ArielVyny last updated on 11/May/22 $$\underset{{n}\geqslant\mathrm{0}} {\sum}\left(−\mathrm{1}\right)^{{n}} {x}^{{n}} =\frac{\mathrm{1}}{\mathrm{1}+{x}}…