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Category: Integration

2-1-e-t-2-t-2-dt-

Question Number 167173 by metamorfose last updated on 08/Mar/22 $$\int_{−\mathrm{2}} ^{−\mathrm{1}} {e}^{−\frac{{t}}{\mathrm{2}}} \sqrt{{t}+\mathrm{2}}\:{dt}\:=\:??? \\ $$ Answered by metamorfose last updated on 08/Mar/22 $${let}\:{I}=\int_{−\mathrm{2}} ^{−\mathrm{1}} {e}^{−\frac{{t}}{\mathrm{2}}}…

x-x-x-x-x-x-dx-

Question Number 101633 by student work last updated on 03/Jul/20 $$\int\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } \centerdot\mathrm{x}^{\mathrm{x}} \centerdot\mathrm{x}\:\mathrm{dx}=? \\ $$ Commented by Tinku Tara last updated on 03/Jul/20 $$\mathrm{Please}\:\mathrm{post}\:\mathrm{questions}\:\mathrm{where}\:\mathrm{you}…

0-pi-2-ln-ln-2-sin-pi-2-ln-2-sin-ln-cos-tan-d-

Question Number 101608 by  M±th+et+s last updated on 03/Jul/20 $$\int_{\mathrm{0}\:} ^{\frac{\pi}{\mathrm{2}}} {ln}\left(\frac{{ln}^{\mathrm{2}} \left({sin}\left(\theta\right)\right)}{\pi^{\mathrm{2}} +{ln}^{\mathrm{2}} \left({sin}\left(\theta\right)\right)}\right)\frac{{ln}\left({cos}\left(\theta\right)\right)}{{tan}\left(\theta\right)}{d}\theta \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

ln-1-e-x-dx-

Question Number 101597 by Rio Michael last updated on 03/Jul/20 $$\:\int\:\mathrm{ln}\:\left(\mathrm{1}+\:{e}^{{x}} \right)\:{dx}\:=\:.. \\ $$ Commented by Dwaipayan Shikari last updated on 03/Jul/20 $$\int\left({e}^{{x}} −\frac{\mathrm{1}}{\mathrm{2}}{e}^{\mathrm{2}{x}} +\frac{\mathrm{1}}{\mathrm{3}}{e}^{\mathrm{3}{x}}…