Category: Integration

Question Number 96959 by mathmax by abdo last updated on 05/Jun/20 $$\mathrm{find}\int \arctan (\mathrm{x}-\frac{1}{\mathrm{x}})\mathrm{dx}$$ Answered by MJS last updated on 06/Jun/20 $$\mathrm{by}\mathrm{parts}$$$${u}=\mathrm{arctan}\:\left({x}−\frac{\mathrm{1}}{{x}}\right)\:\rightarrow\:{u}'=\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}^{\mathrm{4}}…

Question Number 31419 by abdo imad last updated on 08/Mar/18 $$find{\int }_0^{\mathrm{\infty }}\frac{(1+t^2)arctant}{1+t^4}dt.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 31418 by abdo imad last updated on 08/Mar/18 $$calculate{\int }_0^{\mathrm{\infty }}\frac{arctanx}{x^2+x+1}dx.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 31415 by abdo imad last updated on 08/Mar/18 $$let0<x<1findf\left(x\right)={\int }_0^{x}lnt.ln(1-t)dt.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 162471 by mr W last updated on 29/Dec/21 $$\left[reposted\right]$$$$find\underset{0}{\stackrel{\frac{\mathit{\pi }}{2}}{\int }}{\sin }^8\left(\mathrm{x}\right)dx+\underset{0}{\stackrel{1}{\int }}{\sin }^{-1}\left(\sqrt[8]{\mathrm{x}}\right)dx=?$$ Answered by Ar Brandon…