Menu Close

Category: Integration

Question-180388

Question Number 180388 by universe last updated on 11/Nov/22 Answered by aleks041103 last updated on 12/Nov/22 $$\int_{\mathrm{0}} ^{\mathrm{3}} {f}^{−\mathrm{1}} \left({x}\right){dx}=\int_{{f}^{−\mathrm{1}} \left(\mathrm{0}\right)} ^{{f}^{−\mathrm{1}} \left(\mathrm{3}\right)} {f}^{−\mathrm{1}} \left({f}\left({y}\right)\right){d}\left({f}\left({y}\right)\right)=…

x-2-x-6-5-1-6-dx-

Question Number 180379 by cortano1 last updated on 11/Nov/22 $$\:\:\:\:\int\:{x}^{\mathrm{2}} \:\sqrt[{\mathrm{6}}]{{x}^{\mathrm{6}} +\mathrm{5}}\:{dx}\:=? \\ $$ Answered by Ar Brandon last updated on 11/Nov/22 $${I}=\int{x}^{\mathrm{2}} \sqrt[{\mathrm{6}}]{{x}^{\mathrm{6}} +\mathrm{5}}{dx}=\sqrt[{\mathrm{6}}]{\mathrm{5}}\int{x}^{\mathrm{2}}…

Question-49252

Question Number 49252 by cesar.marval.larez@gmail.com last updated on 04/Dec/18 Answered by kaivan.ahmadi last updated on 05/Dec/18 $$\bigstar\mathrm{b} \\ $$$$\mathrm{f}'\left(\mathrm{x}\right)=\mathrm{2tg}\left(\mathrm{sec}\left(\mathrm{cos5x}−\mathrm{3}\right)\right)\left(\mathrm{1}+\mathrm{tg}^{\mathrm{2}} \left(\mathrm{sec}\left(\mathrm{cos}\left(\mathrm{5x}−\mathrm{3}\right)\right)\right)\right)\left(\mathrm{sec}\left(\mathrm{cos}\left(\mathrm{5x}−\mathrm{3}\right)\right)\right)^{'} = \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{other}\:\mathrm{hand} \\ $$$$\left(\mathrm{sec}\left(\mathrm{cos}\left(\mathrm{5x}−\mathrm{3}\right)\right)\right)'=\mathrm{sec}\left(\mathrm{cos}\left(\mathrm{5x}−\mathrm{3}\right)\right)\mathrm{tg}\left(\mathrm{cos}\left(\mathrm{5x}−\mathrm{3}\right)\right).\left(−\mathrm{5sin}\left(\mathrm{5x}−\mathrm{3}\right)\right)…

let-f-a-cos-x-2-ax-1-dx-1-calculate-f-a-and-f-a-2-find-f-n-a-

Question Number 49232 by Abdo msup. last updated on 04/Dec/18 $${let}\:{f}\left({a}\right)=\:\int_{−\infty} ^{+\infty} {cos}\left({x}^{\mathrm{2}} \:+{ax}\:+\mathrm{1}\right){dx} \\ $$$$\left.\mathrm{1}\right){calculate}\:{f}\left({a}\right)\:{and}\:{f}^{'} \left({a}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:{f}^{\left({n}\right)} \left({a}\right)\: \\ $$ Commented by Abdo…

1-z-z-17-1-find-please-

Question Number 49225 by AdqhK ÐQeQqQ last updated on 04/Dec/18 $$\int\frac{\mathrm{1}}{{z}\left({z}^{\mathrm{17}} +\mathrm{1}\right)}=??\:{find}\:{please} \\ $$ Answered by arvinddayama01@gmail.com. last updated on 04/Dec/18 $$\int\frac{\mathrm{1}}{{z}\left({z}^{\mathrm{17}} +\mathrm{1}\right)}.\frac{{z}^{\mathrm{16}} }{{z}^{\mathrm{16}} }{dz}…

sinx-sin4x-dx-

Question Number 49187 by Rahul kharade last updated on 04/Dec/18 $$\int\frac{{sinx}}{{sin}\mathrm{4}{x}}{dx} \\ $$$$ \\ $$ Answered by MJS last updated on 04/Dec/18 $$\int\frac{\mathrm{sin}\:{x}}{\mathrm{sin}\:\mathrm{4}{x}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{tan}\:\frac{{x}}{\mathrm{2}}\:\rightarrow\:{dx}=\frac{\mathrm{2}{dt}}{{t}^{\mathrm{2}}…