Category: Integration

Question Number 42374 by maxmathsup by imad last updated on 24/Aug/18 $$letf\left(x\right)={\int }_0^{\mathrm{\infty }}arctan\left({xt}^2\right)cos\left(t^2\right)dt$$$$1)findaexpliciteformof{f}^{{}^{\prime }}\left(x\right)$$$$2)findaexpliciteformoff\left(x\right)$$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\:\:\int_{\mathrm{0}} ^{\infty} \:\:{cos}\left({t}^{\mathrm{2}}…

Question Number 42358 by Tawa1 last updated on 24/Aug/18 $${\int }_{-1}^1\frac{{\mathrm{x}}^{2015}}{\sqrt[2015]{1+\mathrm{x}}+\sqrt[2015]{1-\mathrm{x}}}\mathrm{dx}$$ Answered by tanmay.chaudhury50@gmail.com last updated on 24/Aug/18 $$\Upsilon\left({x}\right)=\frac{{x}^{\mathrm{2015}} }{\left(\mathrm{1}+{x}\right)^{\frac{\mathrm{1}}{\mathrm{2015}}} +\left(\mathrm{1}−{x}\right)^{\frac{\mathrm{1}}{\mathrm{2015}}}…

Question Number 173424 by mnjuly1970 last updated on 11/Jul/22 $$$$$$\mathrm{prove}\mathrm{that}$$$$$$$${\int }_0^{\mathrm{\infty }}\frac{\sin \left(\mathrm{x}\right)}{\sinh \left(\mathrm{x}\right)}\mathrm{dx}=\frac{\pi }{2}\tanh \left(\frac{\pi }{2}\right)$$$$$$ Answered by Mathspace…

Question Number 42336 by maxmathsup by imad last updated on 23/Aug/18 $$find\int ln(x-cosx)dx.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 107859 by mathmax by abdo last updated on 13/Aug/20 $$\mathrm{find}{\mathrm{A}}_{\mathrm{n}}={\int }_0^1{\mathrm{x}}^{\mathrm{n}}\sqrt{1+\mathrm{x}+{\mathrm{x}}^2}\mathrm{dx}\left(\mathrm{n}\mathrm{natural}\right)$$ Terms of Service Privacy Policy Contact:…