Category: Integration

Question Number 124352 by Mammadli last updated on 02/Dec/20 $$\underset{0}{\stackrel{4\pi }{\int }}\parallel cosx\parallel =?$$ Commented by mr W last updated on 02/Dec/20 $${do}\:{you}\:{mean}\:\underset{\mathrm{0}} {\overset{\mathrm{4}\pi} {\int}}\mid{cosx}\mid\:{dx}\:?…

Question Number 124334 by Ar Brandon last updated on 02/Dec/20 $$\int \sqrt{\frac{\cos x-{\cos }^{3}x}{(1-{\cos }^{3}x)}}\mathrm{d}x$$ Answered by MJS_new last updated on 02/Dec/20 $$=\int\frac{\mathrm{sin}\:{x}\:\sqrt{\mathrm{cos}\:{x}}}{\:\sqrt{\mathrm{1}−\mathrm{cos}^{\mathrm{3}} \:{x}}}{dx}= \…

Question Number 58774 by maxmathsup by imad last updated on 29/Apr/19 $$letf\left(x\right)={\int }_{\frac{\pi }{3}}^{\frac{\pi }{2}}\frac{d\theta }{1+xtan\theta }withxreal$$$$1)findaexplicitformforf\left(x\right)$$$$2)determinealsog\left(x\right)={\int }_{\frac{\pi }{3}}^{\frac{\pi }{2}}\frac{tan\theta }{{(1+xtan\theta )}^2}d\theta$$$$\left.\mathrm{3}\right)\:{let}\:{U}_{{n}} \left({x}\right)\:={f}^{\left({n}\right)} \left({x}\right)\:\:{give}\:{U}_{{n}}…

Question Number 189825 by TUN last updated on 22/Mar/23 $${\underset{a}{\int }}^b\sqrt{(x-a)(b-x)}=¿$$ Answered by Frix last updated on 14/Apr/23 $$\mathrm{circle}:$$$$\left({x}−\frac{{a}+{b}}{\mathrm{2}}\right)^{\mathrm{2}} +{y}^{\mathrm{2}}…

Question Number 124252 by bramlexs22 last updated on 02/Dec/20 $$o\left(x\right)=\int \frac{dx}{\sec {}^{3}x\sin {}^{4}x}$$ Answered by Dwaipayan Shikari last updated on 02/Dec/20 $$\int\frac{{cos}^{\mathrm{3}} {x}}{{sin}^{\mathrm{4}} {x}}{dx}=\int\frac{{cosx}\left(\mathrm{1}−{sin}^{\mathrm{2}}…