Category: Integration

Question Number 125034 by mathmax by abdo last updated on 07/Dec/20 $$\mathrm{find}{\int }_0^{\frac{\pi }{2}}\frac{\mathrm{x}}{\mathrm{sinx}}\mathrm{dx}$$ Commented by Olaf last updated on 07/Dec/20 $$\mathrm{The}\:\mathrm{Catalan}\:\mathrm{constant}\:\mathrm{K}\:\mathrm{has}\:\mathrm{many} \…

Question Number 59474 by rahul 19 last updated on 10/May/19 $$1){\int }_0^{10\pi }(\left[{\sec }^{-1}x\right]+\left[\mathrm{co}{t}^{-1}x\right])dx=?$$$$2)areaboundedbycurvey=ln\left(x\right)and$$$$thelinesy=0,y=ln\left(3\right)andx=0is$$$$equalto?$$ Commented by…

Question Number 190533 by TUN last updated on 05/Apr/23 Answered by witcher3 last updated on 05/Apr/23 $$\frac{\arctan \left(\mathrm{x}\right)}{\mathrm{x}}={\underset{0}{\int }}^1\frac{\mathrm{da}}{1+{\mathrm{a}}^2{\mathrm{x}}^2}$$$$\Leftrightarrow\Omega=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{tan}^{−\mathrm{1}}…

Question Number 124985 by Study last updated on 07/Dec/20 Commented by Study last updated on 07/Dec/20 $$helpme$$ Commented by MJS_new last updated on…

Question Number 124976 by liberty last updated on 07/Dec/20 $$\left(1\right)Thegravitationalforce\left(inlb\right)of$$$$attractionbetweentwoobjectsisgiven$$$$byF=\frac{k}{x^2},wherexisthedistance$$$$betweentheobjects.Iftheobjectsare$$$$10ftapart,findtheworkrequiredto$$$$separatethemuntiltheyare50ftapart.Express$$$$theresultintermsofk.$$$$\left({a}\right)\:\frac{{k}}{\mathrm{500}}\:\:\:\:\:\:\left({b}\right)\:\frac{\mathrm{2}{k}}{\mathrm{25}}\:\:\:\:\:\left({c}\right)\:\frac{{k}}{\mathrm{5}}\:\:\:\left({d}\right)\:\frac{{k}}{\mathrm{40}}…