Category: Integration

Question Number 144638 by liberty last updated on 27/Jun/21 $$\mathrm{Triangle}\mathrm{AOC}\mathrm{inscribed}$$$$\mathrm{in}\mathrm{the}\mathrm{region}\mathrm{cut}\mathrm{from}$$$$\mathrm{the}\mathrm{parabola}\mathrm{y}={\mathrm{x}}^2\mathrm{by}\mathrm{the}$$$$\mathrm{line}\mathrm{y}={\mathrm{a}}^2.\mathrm{Find}\mathrm{the}\mathrm{limit}$$$$\mathrm{of}\mathrm{ratio}\mathrm{of}\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}$$$$\mathrm{triangle}\mathrm{to}\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}$$$$\mathrm{parabolic}\:\mathrm{region}\:\mathrm{as}\:\mathrm{a}\:\mathrm{approaches} \…

Question Number 79096 by mathmax by abdo last updated on 22/Jan/20 $$calculate{\int }_0^{\mathrm{\infty }}\frac{ln\left(x\right)}{{(1+x)}^3}dx$$ Commented by mind is power last updated on…

Question Number 79095 by mathmax by abdo last updated on 22/Jan/20 $$find{A}_n={\int }_0^{\mathrm{\infty }}\frac{sin\left(x\right)sin\left(2x\right)\dots .sin\left(nx\right)}{x^n}dxwithn⩾2integr$$ Commented by mind is power last updated…

Question Number 79091 by mathmax by abdo last updated on 22/Jan/20 $$calculate{\int }_0^{\mathrm{\infty }}\frac{e^{-x^2}arctan\left(x\right)}{x}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 79086 by key of knowledge last updated on 22/Jan/20 $$\mathrm{if}:\int \cos \left(\mathrm{f}\left(\mathrm{x}\right)\right)\mathrm{dx}=\mathrm{g}\left(\mathrm{x}\right)$$$$\int \sin \left(\mathrm{f}\left(\mathrm{x}\right)\right)\mathrm{dx}=?\left(\mathrm{use}\mathrm{g}\left(\mathrm{x}\right)\right)$$ Commented by mr W last updated on 23/Jan/20 $${how}\:{did}\:{you}\:{get}…