Category: Integration

Question Number 60739 by Forkum Michael Choungong last updated on 25/May/19 $$evaluate$$$$i.\int \left(\frac{x+1}{x-1}\right)dx$$$$ii.{\int }_0^{\pi }\left(2cosxsinx\right)dx$$$$iii.{\int }_{\frac{\pi }{3}}^{\pi }\left(\frac{sin2x}{cos2x}\right)dx$$ Commented…

Question Number 60731 by aliesam last updated on 25/May/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 60728 by Mr X pcx last updated on 25/May/19 $$calculate{\int }_1^{+\mathrm{\infty }}\frac{ln\left(lnx\right)}{x^2-x+1}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 60716 by peter frank last updated on 24/May/19 Commented by maxmathsup by imad last updated on 25/May/19 $$letA\left(x\right)={\left(\frac{x}{x+1}\right)}^x\Rightarrow A\left(x\right)={(1-\frac{x+1}{x})}^x=e^{xln(1-\frac{1}{x+1})}$$$${but}\:{we}\:{have}\:{for}\:{u}\:\in{V}\left(\mathrm{0}\right)\:{ln}\left(\mathrm{1}−{u}\right)\:\sim−{u}\:\Rightarrow{ln}\left(\mathrm{1}−\frac{\mathrm{1}}{{x}+\mathrm{1}}\right)\sim−\frac{\mathrm{1}}{{x}+\mathrm{1}}\:{for}\:{x}\in{V}\left(+\infty\right) \…

Question Number 60692 by maxmathsup by imad last updated on 24/May/19 $$find\int arctan\left(2cosx\right)dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com