Question Number 199468 by Calculusboy last updated on 04/Nov/23 Answered by witcher3 last updated on 04/Nov/23 $$\frac{\mathrm{x}}{\mathrm{2021}\pi}\Leftrightarrow \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{\mathrm{e}^{\mathrm{t}^{\mathrm{2021}} } }\left(\mathrm{1}+\mathrm{t}^{\mathrm{2022}} \right)^{\frac{\mathrm{1}}{\mathrm{2022}}} \mathrm{dt}=\mathrm{I}…
Question Number 199471 by MathematicalUser2357 last updated on 04/Nov/23 $${Find}\:{the}\:{integral} \\ $$$$\int_{−\mathrm{3}} ^{\mathrm{3}} \begin{cases}{{x}^{\mathrm{3}} −{x}}&{\left({x}\leq\mathrm{0}\right)}\\{{x}^{\mathrm{2}} }&{\left({x}\geq\mathrm{0}\right)}\end{cases}{dx} \\ $$ Answered by Frix last updated on 04/Nov/23…
Question Number 199377 by universe last updated on 02/Nov/23 $$\:\:\int\underset{\mathrm{R}} {\int}\mathrm{cos}\:\left(\mathrm{max}\left\{\mathrm{x}^{\mathrm{3}} ,\:\mathrm{y}^{\mathrm{3}/\mathrm{2}} \right\}\right)\mathrm{dx}\:\mathrm{dy}\:,\:\mathrm{where}\:\mathrm{R}\:=\:\left[\mathrm{0},\mathrm{1}\right]×\left[\mathrm{0},\mathrm{1}\right] \\ $$ Answered by witcher3 last updated on 04/Nov/23 $$\mathrm{i}\:\mathrm{will}\:\mathrm{Try} \\ $$…
Question Number 199369 by universe last updated on 02/Nov/23 $$\int_{−\mathrm{1}} ^{\mathrm{1}} \:\int_{−\sqrt{\mathrm{1}−{x}^{\mathrm{2}} \:}} ^{\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }} \:\int_{\mathrm{1}−\sqrt{\mathrm{1}−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} }} ^{\mathrm{1}+\sqrt{\mathrm{1}−{y}^{\mathrm{2}} }} \left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} \right)^{\mathrm{5}/\mathrm{2}} {dx}\:{dy}\:{dz}\:\:{is}…
Question Number 199213 by emilagazade last updated on 29/Oct/23 Answered by witcher3 last updated on 29/Oct/23 $$\int_{\mathrm{a}} ^{\mathrm{b}} \left(\mathrm{x}−\left[\mathrm{x}\right]−\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{f}'\left(\mathrm{x}\right)=\mathrm{dx} \\ $$$$=\underset{\mathrm{k}=\mathrm{a}} {\overset{\mathrm{b}−\mathrm{1}} {\sum}}\int_{\mathrm{k}} ^{\mathrm{k}+\mathrm{1}} \left(\mathrm{x}−\left[\mathrm{x}\right]−\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{f}'\left(\mathrm{x}\right)\mathrm{dx}…
Question Number 199162 by ajfour last updated on 28/Oct/23 $${x}=−\mathrm{2}\sqrt{\mathrm{3}}\int{y}^{\mathrm{3}} \sqrt{\mathrm{1}+\frac{\mathrm{1}}{{y}}}\:{dy} \\ $$$${Find}\:\:\int{x}\left({y}\right){dy}\:\:\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 198948 by ArifinTanjung last updated on 26/Oct/23 $$\int_{\mathrm{1}} ^{\mathrm{3}} \frac{\mathrm{x}−\mathrm{2}}{\mathrm{x}^{\mathrm{2}} −\mathrm{4x}}\:\mathrm{dx}=\:…. \\ $$ Answered by ajfour last updated on 26/Oct/23 $${I}=\frac{\mathrm{1}}{\mathrm{2}}\int_{−\mathrm{1}} ^{\:\mathrm{1}} \frac{\mathrm{2}{tdt}}{{t}^{\mathrm{2}}…
Question Number 198929 by shenwanggong last updated on 25/Oct/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 198802 by MathedUp last updated on 24/Oct/23 $$\mathrm{radius}\:{r}\:\mathrm{circle}\:;\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$$\hat {\boldsymbol{\mathrm{F}}}\left({x},{y},{z}\right)={yz}\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{1}} +{x}\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{2}} −{xy}\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{3}} \\ $$$$\mathrm{Find}\:\mathrm{flux}\:\boldsymbol{\rho}=\int\int_{\:\boldsymbol{\Sigma}} \:\hat {\boldsymbol{\mathrm{F}}}\centerdot\hat…
Question Number 198731 by cortano12 last updated on 23/Oct/23 Commented by cortano12 last updated on 24/Oct/23 $$\mathrm{what}\:\mathrm{this}\:\mathrm{formula}\:? \\ $$ Commented by mr W last updated…