Question Number 159297 by rs4089 last updated on 15/Nov/21 Commented by rs4089 last updated on 15/Nov/21 $${how}\:{can}\:{i}\:{find}\:{slope}\:{and}\:{deflection} \\ $$$$\:{of}\:{this}\:{cantilever}\:{beam}\:{at}\:{free}\:{end}\: \\ $$$${point}.\:{by}\:{using}\:{double}\:{integral}\:{method} \\ $$ Answered by…
Question Number 28200 by abdo imad last updated on 21/Jan/18 $${let}\:{give}\:{I}=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{ln}\left(\mathrm{1}+{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx}\:\:{and}\:{J}=\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\:\frac{{x}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{xy}\right)}{dxdy} \\ $$$${calculate}\:{J}\:{by}\:{two}\:{methods}\:{then}\:{find}\:{the}\:{value}\:{of}\:{I}. \\ $$ Commented by abdo imad…
Question Number 93724 by M±th+et+s last updated on 14/May/20 $$\int_{\mathrm{0}} ^{\infty} \frac{{x}\sqrt{{e}^{{x}} −\mathrm{1}}}{\mathrm{1}−\mathrm{2}{cosh}\left({x}\right)}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 93720 by john santu last updated on 14/May/20 $$\int\:\frac{\boldsymbol{{dx}}}{\left(\boldsymbol{{x}}+\mathrm{1}\right)^{\mathrm{3}} \:\sqrt{\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{2}\boldsymbol{{x}}}}\: \\ $$ Commented by john santu last updated on 14/May/20 $$\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{2}\boldsymbol{{x}}\:=\:\boldsymbol{{t}}^{\mathrm{2}\:}…
Question Number 28170 by abdo imad last updated on 21/Jan/18 $${find}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{\mathrm{1}\:−{e}^{−{x}} −\:{e}^{−\frac{\mathrm{1}}{{x}}} }{{x}}{dx}\:\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 159233 by mnjuly1970 last updated on 14/Nov/21 Answered by mindispower last updated on 16/Nov/21 $${A}_{\mathrm{2}{n}} =\underset{{k}\geqslant\mathrm{1}} {\sum}\frac{\mathrm{1}}{\left(\mathrm{2}{k}\right)^{\mathrm{2}{n}} }=\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}{n}} }.\zeta\left(\mathrm{2}{n}\right) \\ $$$$\frac{\frac{\zeta\left(\mathrm{2}{n}\right)}{\mathrm{2}^{\mathrm{2}{n}} }}{\mathrm{2}{n}\left(\mathrm{2}{n}+\mathrm{1}\right)}=−\frac{\zeta\left(\mathrm{2}{n}\right)}{\mathrm{2}^{\mathrm{2}{n}} \left(\mathrm{2}{n}+\mathrm{1}\right)}+\frac{\zeta\left(\mathrm{2}{n}\right)}{\mathrm{2}^{\mathrm{2}{n}}…
Question Number 28162 by abdo imad last updated on 21/Jan/18 $${find}\:\:\int_{\frac{\mathrm{1}}{\mathrm{2}}} ^{\mathrm{2}} \left(\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right){arctanxdx}. \\ $$ Commented by abdo imad last updated on 23/Jan/18 $${by}\:{parts}\:{u}^{,}…
Question Number 28160 by abdo imad last updated on 21/Jan/18 $${find}\:\int\int_{{D}} \:\:\sqrt{{xy}}\:{dxdy}\:{with}\:{D}=\left\{\left({x},{y}\right)\in{R}^{} \:/\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)^{\mathrm{2}} \leqslant{xy}\right\} \\ $$ Commented by abdo imad last updated on…
Question Number 28161 by abdo imad last updated on 21/Jan/18 $${find}\:{the}\:{value}\:{of}\:\int\int_{{W}} {ln}\left(\mathrm{1}+{x}+{y}\right){dxdy}\:{with} \\ $$$${W}=\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /\:{x}+{y}\leqslant\mathrm{1}\:{and}\:{x}\geqslant\mathrm{0}\:{and}\:{y}\geqslant\mathrm{0}\right\}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28159 by abdo imad last updated on 21/Jan/18 $${let}\:{give}\:{D}=\left[\mathrm{0},\frac{\pi}{\mathrm{2}}\right]×\left[\mathrm{0},\frac{\mathrm{1}}{\mathrm{2}}\right]\:\:{find}\:{the}\:{value}\:{of} \\ $$$$\int\int_{{D}} \:\:\:\frac{{dxdy}}{{ycosx}\:+\mathrm{1}}\:\:. \\ $$ Commented by abdo imad last updated on 26/Jan/18 $${let}\:{put}\:\:{I}=\int\int_{{D}}…