Question Number 127160 by kaivan.ahmadi last updated on 27/Dec/20 $${R}\:=\left\{\left({x},{y}\right):\:\left({x}−\mathrm{2}\right)^{\mathrm{2}} +{y}^{\mathrm{2}} \leqslant\mathrm{4}\right\} \\ $$$$\int\underset{{R}} {\int}\:\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)^{\mathrm{2}} {dydx}=? \\ $$ Answered by mathmax by abdo…
Question Number 127161 by kaivan.ahmadi last updated on 27/Dec/20 $$\left.{R}=\left({x},{y}\right):{y}\geqslant\mathrm{0}\:,\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \leqslant\mathrm{9}\right\} \\ $$$$\int\underset{{R}} {\int}{cos}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){dydx}=? \\ $$ Answered by mathmax by abdo last…
Question Number 127157 by kaivan.ahmadi last updated on 27/Dec/20 $${D}=\left\{\left({x},{y}\right):\mid{x}\mid+\mid{y}\mid\leqslant\mathrm{2}\right\} \\ $$$$\int\underset{{D}} {\int}{e}^{{x}+{y}} {dydx}=? \\ $$ Answered by Ar Brandon last updated on 27/Dec/20 $$\mathrm{D}=\left\{\left(\mathrm{x},\:\mathrm{y}\right)\::\:\mid\mathrm{x}\mid+\mid\mathrm{y}\mid\leqslant\mathrm{2}\right\}…
Question Number 61601 by Mr X pcx last updated on 05/Jun/19 $${calvulate}\:\int\int_{{w}} \left({x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right){e}^{−{x}−{y}} {dxdy} \\ $$$${with}\:{W}=\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /\mathrm{0}\leqslant{x}\leqslant\mathrm{1}\:{and}\right. \\ $$$$\left.\mathrm{1}\leqslant{y}\leqslant\mathrm{3}\right\} \\ $$ Commented by…
Question Number 127110 by benjo_mathlover last updated on 26/Dec/20 $$\:\:\int\:\left(\mathrm{arcsin}\:{x}\right)^{\mathrm{2}} \:{dx}\:=? \\ $$ Answered by liberty last updated on 27/Dec/20 $$\:{letting}\:\mathrm{arcsin}\:{x}\:=\:\ell\:\Rightarrow{x}\:=\:\mathrm{sin}\:\ell\:\wedge\:{dx}\:=\:\mathrm{cos}\:\ell\:{d}\ell \\ $$$${I}=\:\int\:\ell^{\mathrm{2}} \mathrm{cos}\:\ell\:{d}\ell\:=\:\ell^{\mathrm{2}} \mathrm{sin}\:\ell\:+\mathrm{2}\ell\:\mathrm{cos}\:\ell−\mathrm{2sin}\:\ell\:+\:{c}…
Question Number 61566 by aliesam last updated on 04/Jun/19 $$\int_{\mathrm{2}} ^{\mathrm{4}} \:\frac{\sqrt{{ln}\left(\mathrm{9}−\left(\mathrm{6}−{x}\right)\right.}}{\:\sqrt{{ln}\left(\mathrm{9}−{x}\right)}\:+\:\sqrt{{ln}\left(\mathrm{3}−{x}\right)}}\:{dx} \\ $$ Answered by tanmay last updated on 04/Jun/19 $${i}\:{think}\:{question}\:{is}\:{typo}\:{error}.. \\ $$$$\int_{{a}} ^{{b}}…
Question Number 192634 by pascal889 last updated on 23/May/23 $$\int\boldsymbol{{sin}}\left(\mathrm{12}{x}\:+\mathrm{8}\:\right){dx} \\ $$ Answered by Subhi last updated on 23/May/23 $$−\frac{\mathrm{1}}{\mathrm{12}}\int−\mathrm{12}{sin}\left(\mathrm{12}{x}+\mathrm{8}\right){dx} \\ $$$$−\frac{\mathrm{1}}{\mathrm{12}}{cos}\left(\mathrm{12}{x}+\mathrm{8}\right)+{c} \\ $$ Commented…
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Question Number 61535 by maxmathsup by imad last updated on 04/Jun/19 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{ln}\left(\mathrm{1}+{cosx}\right)}{{cosx}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61533 by maxmathsup by imad last updated on 04/Jun/19 $$\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\:\:\:\frac{{x}−{y}}{\left({x}^{\mathrm{2}} \:+\mathrm{3}{y}^{\mathrm{2}\:} \:+\mathrm{1}\right)^{\mathrm{2}} }\:{dxdy}\: \\ $$ Commented by maxmathsup by imad last…