Category: Integration

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

Question Number 60688 by maxmathsup by imad last updated on 24/May/19 $$find\int e^{-x}\sqrt{\frac{3-x}{3+x}}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 60687 by maxmathsup by imad last updated on 24/May/19 $$calculate\int \frac{\sqrt{1+x^2}-2x}{\sqrt{1+x^2}+2x}dx$$ Commented by maxmathsup by imad last updated on 25/May/19…

Question Number 60686 by maxmathsup by imad last updated on 24/May/19 $$letf\left(x\right)=cos\left(2x\right),2\pi periodic,developpfatfourierserie$$ Terms of Service Privacy Policy Contact: info@tinkutara.com