Category: Integration

Question Number 90717 by ~blr237~ last updated on 25/Apr/20 $$Provethatforallintegerr⩾2$$$$HCF(r^n-1;r^m-1)=r^{HCF(n;m)}-1$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 156229 by talminator2856791 last updated on 09/Oct/21 $$$$$${\int }_0^{\frac{\pi }{4}}\ln (\sin \left(2x\right)+\cos \left(3x\right))dx$$$$$$ Commented by talminator2856791 last updated on 09/Oct/21…

Question Number 156224 by talminator2856791 last updated on 09/Oct/21 $$$$$${\int }_0^1\frac{1}{\sqrt{\ln \left(x^2\right)+1}}dx$$$$$$ Commented by talminator2856791 last updated on…

Question Number 156194 by talminator2856791 last updated on 09/Oct/21 $$$$$${\int }_0^1\sqrt{x\sqrt{x^2\sqrt{x^3\dots ..\sqrt{x^n}}}}dx$$$$n\in \mathbb{N}$$$$$$ Commented by…

Question Number 156182 by cortano last updated on 09/Oct/21 Answered by PRITHWISH SEN 2 last updated on 10/Oct/21 $$\int\frac{\mathrm{sec}^{\mathrm{4}} \mathrm{xdx}}{\mathrm{12tan}\:^{\mathrm{2}} \mathrm{x}−\mathrm{4}}\:=\:\int\frac{\mathrm{sec}^{\mathrm{2}} \mathrm{x}\left(\mathrm{1}+\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}\right)\mathrm{dx}}{\mathrm{12tan}\:^{\mathrm{2}} \mathrm{x}−\mathrm{4}} \…