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Category: Integration

Question-35732

Question Number 35732 by ajfour last updated on 22/May/18 Commented by ajfour last updated on 22/May/18 $${Find}\:{moment}\:{of}\:{inertia}\:{of}\:{disc} \\ $$$${about}\:{an}\:{axis},\:{as}\:{in}\:{figure}\:{above}, \\ $$$${if}\:{density}\:{of}\:{disc}\:{be}\:{proportional} \\ $$$${to}\:\mathrm{sin}\:\theta\:. \\ $$…

sin-3-x-cos-2-x-1-cos-2-x-1-dx-

Question Number 166796 by cortano1 last updated on 28/Feb/22 $$\:\:\:\:\int\:\frac{\mathrm{sin}\:^{\mathrm{3}} \mathrm{x}}{\left(\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{1}\right)\sqrt{\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{1}}}\:\mathrm{dx} \\ $$ Answered by MJS_new last updated on 28/Feb/22 $$\int\frac{\mathrm{sin}^{\mathrm{3}} \:{x}}{\left(\mathrm{1}+\mathrm{cos}^{\mathrm{2}} \:{x}\right)^{\mathrm{3}/\mathrm{2}}…

Show-that-the-greatest-integer-function-is-Riemann-integrable-within-all-segments-of-R-

Question Number 101234 by Ar Brandon last updated on 01/Jul/20 $$\mathcal{S}\mathrm{how}\:\mathrm{that}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{integer}\:\mathrm{function}\:\mathrm{is}\:\mathrm{Riemann} \\ $$$$\mathrm{integrable}\:\mathrm{within}\:\mathrm{all}\:\mathrm{segments}\:\mathrm{of}\:\mathbb{R} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

calculate-f-a-0-pi-dx-1-a-cosx-a-from-R-2-application-calculate-0-pi-dx-1-2cosx-

Question Number 35687 by prof Abdo imad last updated on 22/May/18 $${calculate}\:{f}\left({a}\right)=\int_{\mathrm{0}} ^{\pi} \:\:\:\:\:\frac{{dx}}{\mathrm{1}−{a}\:{cosx}}\:\:{a}\:{from}\:{R}\:. \\ $$$$\left.\mathrm{2}\right)\:{application}\:\:{calculate}\:\:\int_{\mathrm{0}} ^{\pi} \:\:\:\:\frac{{dx}}{\mathrm{1}−\mathrm{2}{cosx}} \\ $$ Commented by prof Abdo imad…