Menu Close

Category: Integration

tan-x-tan-2x-tan-3x-dx-

Question Number 77447 by TawaTawa last updated on 06/Jan/20 $$\int\:\mathrm{tan}\left(\mathrm{x}\right)\:\mathrm{tan}\left(\mathrm{2x}\right)\:\mathrm{tan}\left(\mathrm{3x}\right)\:\mathrm{dx} \\ $$ Answered by peter frank last updated on 06/Jan/20 $$\mathrm{tan}\:\mathrm{3}{x}=\frac{\mathrm{tan}\:{x}+\mathrm{tan}\:\mathrm{2}{x}}{\mathrm{1}−\mathrm{tan}\:{x}\mathrm{tan}\:\mathrm{2}{x}} \\ $$$$\mathrm{tan}\:\mathrm{3}{x}−\mathrm{tan}{x}\:\mathrm{tan2}{x}\:\mathrm{tan}\:\mathrm{3}{x}=\mathrm{tan}{x}+\:\mathrm{tan}\:\mathrm{2}{x} \\ $$$$\mathrm{tan}{x}\:\mathrm{tan2}{x}\:\mathrm{tan}\:\mathrm{3}{x}=\mathrm{tan3}{x}−\:\mathrm{tan}\:\mathrm{2}{x}−\mathrm{tan}{x}\:…

Question-11868

Question Number 11868 by Nayon last updated on 03/Apr/17 Answered by sandy_suhendra last updated on 03/Apr/17 Commented by sandy_suhendra last updated on 03/Apr/17 $$\Delta\mathrm{FBA}\approx\Delta\mathrm{FB}'\mathrm{A}'\:\left(\mathrm{their}\:\mathrm{corresponding}\:\mathrm{angle}\:\:\:\:\:\right. \\…