Question Number 161652 by Lordose last updated on 20/Dec/21 $$\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{xlog}\left(\mathrm{a}+\mathrm{x}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}\:\forall\:\mid\mathrm{a}\mid\:\in\:\mathbb{N} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 30584 by abdo imad last updated on 23/Feb/18 $${find}\:\:{I}=\:\int_{−\infty} ^{+\infty} \:\:\:\:\:\frac{{e}^{−{x}^{\mathrm{2}} } }{{a}^{\mathrm{2}} \:+\left({v}−{x}\right)^{\mathrm{2}} }{dx}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 30580 by abdo imad last updated on 23/Feb/18 $${decompose}\:{inside}\:{C}\left[{x}\right]\:{F}=\:\frac{{x}^{{n}} }{{x}^{{m}} \:+\mathrm{1}}\:{with}\:{m}\geqslant{n}+\mathrm{2} \\ $$$${then}\:{find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{x}^{{n}} }{{x}^{{m}} \:+\mathrm{1}}{dx}. \\ $$ Commented by prof Abdo…
Question Number 30575 by abdo imad last updated on 23/Feb/18 $${find}\:\int\int_{{D}} \:\left({x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \right){dxdy}\:\:{with} \\ $$$${D}=\left\{\left({x},{y}\right)/\:{x}\leqslant\mathrm{1}\:{and}\:{x}^{\mathrm{2}} \leqslant{y}\leqslant\mathrm{2}\:\right\}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 30574 by abdo imad last updated on 23/Feb/18 $${find}\:\int\int_{\left[\mathrm{1},{e}\right]^{\mathrm{2}} } \:\:\:{ln}\left({xy}\right){dxdy}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 30573 by abdo imad last updated on 23/Feb/18 $${find}\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]×\left[\mathrm{0},\mathrm{1}\right]} \:\:\:\:\frac{{x}^{\mathrm{2}} }{\mathrm{1}+{y}^{\mathrm{2}} }{dxdy}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 30572 by abdo imad last updated on 23/Feb/18 $${find}\:\:{I}=\int\int_{\left[\mathrm{3},\mathrm{4}\right]×\left[\mathrm{1},\mathrm{2}\right]} \:\:\frac{{dxdy}}{\left({x}+{y}\right)^{\mathrm{2}} }\:. \\ $$ Commented by prof Abdo imad last updated on 24/Feb/18 $${I}=\:\int_{\mathrm{1}}…
Question Number 161646 by amin96 last updated on 20/Dec/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 30569 by abdo imad last updated on 23/Feb/18 $${find}\:{I}=\:\int\int_{{D}} \:\sqrt{\mathrm{1}−\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }−\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }}\:\:{dxdy}\:\:{with}\:{D}\:{is}\:{the}\:{interior} \\ $$$${of}\:{ellipce}\:\:\:\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }\:+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\:=\mathrm{1}. \\ $$ Terms…
Question Number 30570 by abdo imad last updated on 23/Feb/18 $${find}\:\int\int_{{U}} \:\frac{{dxdy}}{{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} }\:{with}\:{U}=\:\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /\mathrm{1}\leqslant{x}^{\mathrm{2}} \:+\mathrm{2}{y}^{\mathrm{2}} \leqslant\mathrm{4}\right\} \\ $$ Terms of Service Privacy Policy Contact:…