Category: Integration

Question Number 64525 by mathmax by abdo last updated on 19/Jul/19 $$studytheconvergenceof\mathrm{\Sigma }{U}_{n}with$$$$U_n={\int }_0^{\mathrm{\infty }}\frac{cos\left(nx\right)}{x^2+n^2}dx(n⩾1)$$ Commented by mathmax…

Question Number 130029 by mathmax by abdo last updated on 22/Jan/21 $$1)\mathrm{decompose}\mathrm{F}\left(\mathrm{x}\right)=\frac{1}{{({\mathrm{x}}^2-4)}^3{({\mathrm{x}}^2+1)}^2}$$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\int_{\mathrm{3}} ^{\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4}\right)^{\mathrm{3}} \left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} } \…

Question Number 130011 by mnjuly1970 last updated on 21/Jan/21 $$\dots advancedcalculus\dots$$$$provethat::$$$$\mathrm{\Phi }=\underset{\mathbb{R}}{\int }{e}^{(-e^x+2x)}{x}^{2}dx={(1-\gamma )}^2+\frac{{\pi }^2-6}{6}$$$$$$ Answered…

Question Number 129996 by Eric002 last updated on 21/Jan/21 $$\int \frac{\sqrt[5]{x^2}}{\sqrt[3]{1+\sqrt{x^5}}}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 129989 by liberty last updated on 21/Jan/21 $$\mathrm{Find}\mathrm{the}\mathrm{area}\mathrm{bounded}{\mathrm{xy}}^2={4\mathrm{a}}^2(2\mathrm{a}-\mathrm{x})$$$$\mathrm{and}\mathrm{its}\mathrm{asymptotes}.$$ Answered by EDWIN88 last updated on 21/Jan/21 $$\mathrm{equating}\:\mathrm{to}\:\mathrm{zero}\:\mathrm{the}\:\mathrm{coefficient}\:\mathrm{of}\:\mathrm{highest} \…