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Category: Integration

2x-3-1-x-4-x-dx-

Question Number 144792 by imjagoll last updated on 29/Jun/21 2x31x4+xdx? Answered by liberty last updated on 29/Jun/21 $$\:\Omega=\int\:\frac{\mathrm{2x}^{\mathrm{3}} −\mathrm{1}}{\mathrm{x}^{\mathrm{4}} +\mathrm{x}}\:\mathrm{dx}\:=\:\int\:\frac{\mathrm{2x}−\mathrm{x}^{−\mathrm{2}} }{\mathrm{x}^{\mathrm{2}}…

A-region-is-enclosed-by-curves-x-2-4y-x-2-4y-x-4-amp-x-4-V-1-is-the-volume-of-the-solid-obtained-by-rotating-the-above-region-round-the-y-axis-Another-regions-consists-of-points-x-y-satisf

Question Number 144771 by imjagoll last updated on 29/Jun/21 Aregionisenclosedbycurvesx2=4y,x2=4y,x=4&x=4V1isthevolumeofthesolidobtainedbyrotatingtheaboveregionroundtheyaxis.Anotherregionsconsistsofpoints(x,y)satisfying$$\mathrm{x}^{\mathrm{2}}…

Question-144764

Question Number 144764 by nonh1 last updated on 29/Jun/21 Answered by liberty last updated on 29/Jun/21 $$\int_{\mathrm{0}} ^{\:\sqrt{\mathrm{ln}\:\mathrm{2}}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{1}}{\mathrm{2}}\mathrm{xe}^{\mathrm{x}^{\mathrm{2}} } \:\left(\frac{\mathrm{d}\left(\mathrm{1}+\mathrm{y}^{\mathrm{2}} \right)}{\mathrm{1}+\mathrm{y}^{\mathrm{2}} }\right)\mathrm{dx}…