Category: Integration

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 $$★\mathrm{b}$$$${\mathrm{f}}^{\prime }\left(\mathrm{x}\right)=2\mathrm{tg}\left(\sec (\cos 5\mathrm{x}-3)\right)(1+{\mathrm{tg}}^2\left(\sec \left(\cos (5\mathrm{x}-3)\right)\right)){\left(\sec \left(\cos (5\mathrm{x}-3)\right)\right)}^{{}^{\prime }}=$$$$\mathrm{on}\mathrm{the}\mathrm{other}\mathrm{hand}$$$$\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)…

Question Number 114773 by soumyasaha last updated on 21/Sep/20 $$$$$$\mathrm{Evaluate}:\int \frac{1}{{\sin }^5\mathrm{x}+{\cos }^5\mathrm{x}}\mathrm{dx}$$ Answered by MJS_new last updated on 21/Sep/20 $$\int\frac{{dx}}{\mathrm{sin}^{\mathrm{5}} \:{x}\:+\mathrm{cos}^{\mathrm{5}}…

Question Number 49225 by AdqhK ÐQeQqQ last updated on 04/Dec/18 $$\int \frac{1}{z(z^{17}+1)}=??findplease$$ 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}…

Question Number 114699 by bemath last updated on 20/Sep/20 $$\underset{0}{\stackrel{\frac{\pi }{2}}{\int }}\frac{dx}{\sqrt{1+\tan {}^{4}x}}?$$ Commented by Dwaipayan Shikari last updated on 20/Sep/20 Answered by…

Question Number 49144 by AdqhK ÐQeQqQ last updated on 03/Dec/18 $$\int \frac{1}{x^n+1}dx=??$$ Commented by MJS last updated on 04/Dec/18 $${x}^{{n}} +\mathrm{1}=\underset{{k}=\mathrm{0}} {\overset{{n}−\mathrm{1}} {\prod}}\left({x}−\mathrm{e}^{\mathrm{i}\frac{\pi}{{n}}\left(\mathrm{2}{k}+\mathrm{1}\right)}…