Category: Integration

Question Number 172352 by Mikenice last updated on 25/Jun/22 Answered by Mathspace last updated on 26/Jun/22 $$\int_{\mathrm{0}} ^{\infty} \:{x}^{\mathrm{6}} {e}^{−{x}} {cosx}\:{dx}={Re}\left(\int_{\mathrm{0}} ^{\infty} {x}^{\mathrm{6}} {e}^{−{x}+{ix}} {dx}\right)\:…

Question Number 41279 by math khazana by abdo last updated on 04/Aug/18 $$letf\left(x\right)={\int }_0^{\mathrm{\infty }}arctan\left({xt}^2\right)dt.$$$$findaexpliciteformof{f}^{{}^{\prime }}\left(x\right)$$ Commented by maxmathsup by…

Question Number 106809 by Study last updated on 07/Aug/20 $$\int e^{2x}{sine}^{x}dx=??$$ Answered by bemath last updated on 07/Aug/20 $$@\mathrm{bemath}@$$$$\int\:\mathrm{e}^{\mathrm{x}\:} \mathrm{sin}\:\left(\mathrm{e}^{\mathrm{x}}…

Question Number 106808 by Study last updated on 07/Aug/20 $$\int tan\left(lnx\right)dx=???$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 41248 by Tawa1 last updated on 04/Aug/18 Commented by prof Abdo imad last updated on 04/Aug/18 $$changementx=\sqrt{2}tant\Rightarrow$$$${I}\:=\:\int\:\:\frac{\sqrt{\mathrm{2}}\left(\mathrm{1}+{tan}^{\mathrm{2}} {t}\right){dt}}{\mathrm{8}\left(\mathrm{1}+{tan}^{\mathrm{2}} {t}\right)^{\mathrm{3}} }\:=\frac{\sqrt{\mathrm{2}}}{\mathrm{8}}\:\int\:\:\:\frac{{dt}}{\left(\mathrm{1}+{tan}^{\mathrm{2}} {t}\right)^{\mathrm{2}}…