Category: Integration

Question Number 72401 by Learner-123 last updated on 28/Oct/19 $$Findtheareaboundedbyoneleafof$$$$theroser=12\cos \left(3\theta \right).$$ Answered by ajfour last updated on 28/Oct/19 Commented by ajfour last…

Question Number 137933 by mnjuly1970 last updated on 08/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 137930 by mnjuly1970 last updated on 08/Apr/21 $$\dots ..nice\dots \dots calculus\dots ..$$$$calculationof:::$$$$\mathit{\varphi }={\int }_2^6\frac{1+\left(\sqrt[3]{(x-2)(x-4)(x-6)}\right){cos}^{2021}\left(\pi x\right)}{x^2-8x+20}dx=?$$$$solution::$$$$\:\:\:\:\:{x}−\mathrm{4}={t}\:\Rightarrow\left\{_{\:{x}=\mathrm{6}\:\Rightarrow\:{t}=\mathrm{2}} ^{{x}=\mathrm{2}\:\Rightarrow{t}=−\mathrm{2}} \right. \…

Question Number 72390 by mathmax by abdo last updated on 28/Oct/19 $$calculate{U}_n={\int }_0^{\mathrm{\infty }}\frac{arctan(1+x^4)}{{(x^2+n^2)}^3}dx$$$$anddeterminenatureoftheserie\mathrm{\Sigma }{U}_n$$ Commented by…

Question Number 137926 by brayan last updated on 08/Apr/21 $${\int }_0^{\frac{\mathrm{\Pi }}{2}}{x}^2\cos xdx=$$ Answered by Ñï= last updated on 08/Apr/21 $$\frac{\mathrm{1}}{{D}}{x}^{\mathrm{2}} \mathrm{cos}\:{x}={Re}\left({e}^{{ix}} \frac{\mathrm{1}}{{D}+{i}}{x}^{\mathrm{2}}…