Category: Integration

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}}…

Question Number 6841 by Tawakalitu. last updated on 30/Jul/16 $$Integrate:x{sec}^2\left(x^2\right)$$$$$$ Commented by Tawakalitu. last updated on 30/Jul/16 $${I}\:{have}\:{solve}\:{this}\:{one}.\:{i}\:{got}\:…\:\:\:\frac{\mathrm{1}}{\mathrm{2}}\:{tan}\left({x}^{\mathrm{2}} \right)\:+\:{C}…

Question Number 137896 by bemath last updated on 08/Apr/21 $${\underset{0}{\int }}^{\mathrm{\infty }}\frac{x^3+x+1}{\sqrt[3]{x}(x^4+x^2+1)}dx=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com