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Question Number 75102 by Rio Michael last updated on 07/Dec/19 $$\mathrm{show}\:\mathrm{by}\:\mathrm{integration}\:\mathrm{that}\:\mathrm{the}\:\mathrm{centroid} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{semi}−\mathrm{circular}\:\mathrm{lamina}\:\mathrm{of}\:\mathrm{radius}\:{a}\: \\ $$$$\mathrm{from}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{is}\:\:\:\frac{\mathrm{4}{a}}{\mathrm{3}\pi}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 140639 by Mathspace last updated on 10/May/21 $${let}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\frac{{x}^{{n}} {logx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{1}\right)\:{explicite}\:{U}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{fond}\:{nature}\:{of}\:\Sigma\:{U}_{{n}} \\ $$$$\left({n}\:{integr}\:{natural}\right) \\ $$ Answered…
Question Number 75098 by Rio Michael last updated on 07/Dec/19 $$\mathrm{the}\:\mathrm{function}\:\mathrm{f}\:\mathrm{is}\:\mathrm{defined}\:\mathrm{by}\:{f}\left({x}\right)\:=\:\frac{\mathrm{2}}{{x}^{\mathrm{2}} −\mathrm{1}} \\ $$$$\left.{a}\right)\:\mathrm{Express}\:\mathrm{f}\:\mathrm{into}\:\mathrm{partial}\:\mathrm{fraction} \\ $$$$\mathrm{b}.\mathrm{show}\:\mathrm{that}\:\int_{\mathrm{3}} ^{\mathrm{5}} {f}\left({x}\right)\:{dx}\:=\:{ln}\left(\frac{\mathrm{4}}{\mathrm{3}}\right) \\ $$ Answered by peter frank last…
Question Number 140635 by Mathspace last updated on 10/May/21 $${find}\:\:\int_{−\infty} ^{+\infty} \:\frac{{sin}\left(\mathrm{2}{cosx}\right)}{\left({x}^{\mathrm{2}} \:−{x}+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Answered by mathmax by abdo last updated on 12/May/21…
Question Number 140634 by Mathspace last updated on 10/May/21 $${find}\:\int_{−\infty} ^{+\infty} \:\frac{{cos}\left(\mathrm{2}{sinx}\right)}{\left({x}^{\mathrm{2}} −{x}+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 75093 by Rio Michael last updated on 07/Dec/19 $$\int{cos}^{\mathrm{3}} {xsin}^{\mathrm{3}} {xdx} \\ $$ Commented by mathmax by abdo last updated on 07/Dec/19 $${I}\:=\int\:{cos}^{\mathrm{3}}…
Question Number 75089 by MJS last updated on 07/Dec/19 $$\int\mathrm{sin}\:\left({x}^{\mathrm{3}} +{c}\right)\:{dx}=? \\ $$$$\int\mathrm{sinh}\:\left({x}^{\mathrm{3}} +{c}\right)\:{dx}=? \\ $$ Commented by mathmax by abdo last updated on 07/Dec/19…
Question Number 75082 by Rio Michael last updated on 07/Dec/19 $${find} \\ $$$$\int_{\mathrm{0}} ^{\pi} {e}^{{cosx}} {sinx}\:{dx} \\ $$ Answered by mr W last updated on…
Question Number 75081 by Rio Michael last updated on 07/Dec/19 $${Evaluate}\: \\ $$$$\:\int_{\mathrm{1}} ^{\mathrm{3}\:} \frac{{x}^{\mathrm{2}} }{\mathrm{1}+{x}}\:{dx} \\ $$ Answered by mr W last updated on…