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Category: Integration

0-t-e-4t-1-ln-i-t-e-2t-dt-by-M-A-

Question Number 163834 by amin96 last updated on 11/Jan/22 $$\int_{\mathrm{0}} ^{\infty} \frac{\boldsymbol{{t}}\left(\boldsymbol{{e}}^{\mathrm{4}\boldsymbol{{t}}} −\mathrm{1}\right)\left(\boldsymbol{{ln}}\left(\boldsymbol{{i}}\right)+\boldsymbol{{t}}\right)}{\boldsymbol{{e}}^{\mathrm{2}\boldsymbol{{t}}} }\boldsymbol{{dt}}=? \\ $$$$\boldsymbol{{by}}\:\:\boldsymbol{{M}}.\boldsymbol{{A}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-32763

Question Number 32763 by San Sophanethsan069 last updated on 01/Apr/18 Commented by abdo imad last updated on 01/Apr/18 $${let}\:{put}\:{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \left(\:\mid{sinx}\mid\:+\mid{cosx}\mid\right){dx}\:\:.{ch}\:.{x}=\pi\:+{t}\:{give} \\ $$$${I}\:=\:\int_{−\pi} ^{\pi} \:\left(\mid{sint}\mid\:+\mid{cost}\mid\right){dt}\:=\mathrm{2}\:\int_{\mathrm{0}}…

e-x-x-

Question Number 163828 by milandou last updated on 11/Jan/22 $$\int\frac{{e}^{{x}} }{{x}} \\ $$ Answered by Ar Brandon last updated on 11/Jan/22 $$=\int\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{{x}^{{n}−\mathrm{1}} }{{n}!}{dx}=\int\left(\frac{\mathrm{1}}{{x}}+\underset{{n}=\mathrm{1}}…