Category: Integration

Question Number 39135 by maxmathsup by imad last updated on 02/Jul/18 $$calculateA\left(\lambda \right)={\int }_0^{\lambda }\frac{ln(x+\sqrt{1+x^2)}}{\sqrt{1+x^2}}dx$$$$2)calculate{\int }_0^1\frac{ln(x+\sqrt{1+x^2)}}{\sqrt{1+x^2}}dx$$ Commented…

Question Number 39120 by math khazana by abdo last updated on 02/Jul/18 $$let{A}_n={\int }_1^n\frac{\left[\sqrt{1+x^2}\right]-\left[x\right]}{x^2}dx(nintegr⩾1)$$$$1)calculate{A}_n$$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} \: \…

Question Number 104644 by Rohit@Thakur last updated on 22/Jul/20 $${\int }_0^1\frac{log(1-x+x^2-x^3+x^4)dx}{x}=-\frac{{\pi }^2}{15}$$ Answered by mathmax by abdo last updated…

Question Number 104609 by  M±th+et+s last updated on 22/Jul/20 $$prove:$$$${\int }_0^1\frac{x^4{(1-x)}^4}{1+x^2}dx=\frac{22}{7}-\pi$$ Answered by Dwaipayan Shikari last updated…

Question Number 39040 by maxmathsup by imad last updated on 01/Jul/18 $$findF\left(x\right)={\int }_0^{\pi }ln(x^2-2xsin\left(2\theta \right)+1)d\theta .$$ Terms of Service Privacy Policy Contact: info@tinkutara.com