Question Number 44319 by abdo.msup.com last updated on 26/Sep/18 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:\:\int_{{x}} ^{\mathrm{2}{x}} \:\frac{\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }}{{t}}{dt}\:. \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 44318 by abdo.msup.com last updated on 26/Sep/18 $${let}\:{f}\left({x}\right)=\int_{{x}} ^{+\infty} \:\frac{{e}^{−{t}} }{{t}}{dt} \\ $$$$\left.\mathrm{1}\right){calculate}\:{f}^{'} \left({x}\right) \\ $$$$\left.\mathrm{2}\right){find}\:{a}\:{equivalent}\:{of}\:{f}\left({x}\right)\:{when} \\ $$$${x}\rightarrow+\infty. \\ $$ Commented by tanmay.chaudhury50@gmail.com…
Question Number 44317 by abdo.msup.com last updated on 26/Sep/18 $${let}\:{u}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{{t}−\left[{t}\right]}{{t}\left({t}+{n}\right)}{dt} \\ $$$${find}\:{a}\:{equivalent}\:{of}\:{u}_{{n}} \:{when}\:{n}\rightarrow+\infty \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 26/Sep/18…
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Question Number 175387 by cortano1 last updated on 29/Aug/22 $$\:{J}=\underset{\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\:\frac{\mathrm{sin}\:{x}}{\mathrm{1}+\mathrm{sin}\:{x}+\mathrm{cos}\:{x}}\:{dx} \\ $$ Commented by infinityaction last updated on 29/Aug/22 $$\:\:\:\:{J}\:\:\:=\:\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \frac{\mathrm{2sin}\frac{{x}}{\mathrm{2}}\mathrm{cos}\:\frac{{x}}{\mathrm{2}}\:}{\mathrm{2sin}\frac{{x}}{\mathrm{2}}\:\mathrm{cos}\frac{{x}}{\mathrm{2}}\:+\mathrm{2cos}^{\mathrm{2}} \frac{{x}}{\mathrm{2}}\:}{dx}…
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Question Number 175386 by cortano1 last updated on 29/Aug/22 $$\:\:\:\underset{\mathrm{5}} {\overset{\mathrm{7}} {\int}}\:\frac{\left[\:\frac{\mathrm{1}}{\mathrm{4}}{x}+\mathrm{3}\:\right]}{\:\sqrt{\mathrm{9}{x}^{\mathrm{2}} −\mathrm{12}{x}+\mathrm{4}}}\:{dx}=? \\ $$$$\:\left[\:..\right]\:={floor}\:{function} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 44309 by abdo.msup.com last updated on 26/Sep/18 $${find}\:{the}\:{value}\:{of}\: \\ $$$${I}\:=\int_{−\infty} ^{+\infty} \:\:\:\:\frac{{cos}\left(\alpha{t}\right)}{\left({x}^{\mathrm{2}} \:+{x}\:+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$$$\alpha\:{from}\:{R}. \\ $$$$\left.\mathrm{2}\right){calculate}\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+{x}\:+\mathrm{1}\right)^{\mathrm{2}} } \\…
Question Number 44307 by abdo.msup.com last updated on 26/Sep/18 $${find}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {cosxln}\left({cosx}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 44308 by abdo.msup.com last updated on 26/Sep/18 $${let}\:{I}\:=\:\int_{\mathrm{0}} ^{\infty} \:{cos}^{\mathrm{4}} {t}\:{e}^{−\mathrm{2}{t}} {dt}\:{and}\:{J}=\int_{\mathrm{0}} ^{\infty} \:{sin}^{\mathrm{4}} {t}\:{e}^{−\mathrm{2}{t}} {dt} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{I}\:+{J}\:{and}\:{I}−{J} \\ $$$$\left.\mathrm{2}\right){find}\:{the}\:{values}\:{of}\:{I}\:{and}\:{J}. \\ $$ Commented…