Menu Close

Category: Integration

Question-46641

Question Number 46641 by Tinkutara last updated on 29/Oct/18 Commented by tanmay.chaudhury50@gmail.com last updated on 29/Oct/18 $${question}\:{itself}\:\:{is}\:{doubtful}…{because} \\ $$$$\int\frac{{xdx}}{\:\sqrt{\mathrm{1}+\left({x}−\frac{\mathrm{1}}{{x}}\right)}}{dx}\:\leftarrow{it}\:{has}\:{no}\:{upper}\:{or}\:{lower}\:{limit} \\ $$ Terms of Service Privacy…

Question-46639

Question Number 46639 by Tinkutara last updated on 29/Oct/18 Commented by maxmathsup by imad last updated on 30/Oct/18 $${let}\:{A}\:=\int_{\mathrm{0}} ^{\pi} \:\:\frac{{sin}\left(\mathrm{2}{x}\right)}{{x}+\mathrm{1}}{dx}\:\:\:\Rightarrow{A}=_{\mathrm{2}{x}={t}} \:\:\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{sin}\left({t}\right)}{\frac{{t}}{\mathrm{2}}+\mathrm{1}}\:\frac{{dt}}{\mathrm{2}} \\…

1-calculate-I-n-0-x-n-e-1-i-x-dx-with-n-integr-natural-and-i-2-1-2-find-0-x-4k-3-xsinx-dx-

Question Number 46612 by maxmathsup by imad last updated on 29/Oct/18 $$\left.\mathrm{1}\right)\:{calculate}\:{I}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:{x}^{{n}} \:{e}^{\left(\mathrm{1}−{i}\right){x}} {dx}\:{with}\:{n}\:{integr}\:{natural}\:{and}\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{find}\:\int_{\mathrm{0}} ^{\infty} \:{x}^{\mathrm{4}{k}+\mathrm{3}} \:{xsinx}\:{dx}\:. \\ $$…