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Category: Integration

find-dx-1-cos-x-cos-2x-

Question Number 47059 by maxmathsup by imad last updated on 04/Nov/18 finddx1+cosx+cos(2x) Commented by maxmathsup by imad last updated on 06/Nov/18 $${let}\:{A}\:=\int\:\:\:\frac{{dx}}{\mathrm{1}+{cosx}\:+{cos}\left(\mathrm{2}{x}\right)}\:=\:\int\:\:\frac{{dx}}{\mathrm{1}+{cos}\left({x}\right)+\mathrm{2}{cos}^{\mathrm{2}} {x}−\mathrm{1}}…

let-f-x-0-1-dt-2-ch-xt-1-find-a-explicit-form-of-f-x-2-calculate-g-x-0-1-tsh-xt-2-ch-xt-2-dt-3-find-the-value-of-0-1-dt-2-ch-3t-and-0-1-tsh-3t-

Question Number 47060 by maxmathsup by imad last updated on 04/Nov/18 letf(x)=01dt2+ch(xt)1)findaexplicitformoff(x)2)calculateg(x)=01tsh(xt)(2+ch(xt))2dt$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{dt}}{\mathrm{2}+{ch}\left(\mathrm{3}{t}\right)}\:{and}\:\:\int_{\mathrm{0}}…