Menu Close

Category: None

Calculate-0-sin-z-z-z-2-1-dz-method-1-using-Laplace-Transform-method-2-using-Contour-Integral-method-3-using-Feymann-s-parametirc-trick-HELP-

Question Number 195421 by MathedUp last updated on 02/Aug/23 $$\mathrm{Calculate}.\:\:\int_{\mathrm{0}} ^{\:\infty} \:\:\frac{\mathrm{sin}\left({z}\right)}{{z}\left({z}^{\mathrm{2}} +\mathrm{1}\right)}\mathrm{d}{z} \\ $$$$\mathrm{method}\:\mathrm{1}.\:\mathrm{using}\:\mathrm{Laplace}\:\mathrm{Transform}. \\ $$$$\mathrm{method}\:\mathrm{2}.\:\mathrm{using}\:\mathrm{Contour}\:\mathrm{Integral}. \\ $$$$\mathrm{method}\:\mathrm{3}.\:\mathrm{using}\:\mathrm{Feymann}'\mathrm{s}\:\mathrm{parametirc}\:\mathrm{trick} \\ $$$$\mathrm{HELP}!!!!!!! \\ $$ Answered by…

Question-195446

Question Number 195446 by sonukgindia last updated on 02/Aug/23 Answered by Frix last updated on 02/Aug/23 $$\sqrt{{a}+{b}\mathrm{i}}=\frac{\sqrt{{a}+\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }}}{\:\sqrt{\mathrm{2}}}+\mathrm{sign}\:{b}\:\frac{\sqrt{−{a}+\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }}}{\:\sqrt{\mathrm{2}}}\mathrm{i} \\ $$$$\sqrt{−\mathrm{110}+\mathrm{66i}}=\sqrt{\mathrm{11}\left(−\mathrm{5}+\sqrt{\mathrm{34}}\right)}+\mathrm{i}\sqrt{\mathrm{11}\left(\mathrm{5}+\sqrt{\mathrm{34}}\right)} \\ $$…

n-0-a-n-n-2-2-n-4-2-n-3-2-

Question Number 195436 by MrGHK last updated on 02/Aug/23 $$\underset{\boldsymbol{\mathrm{n}}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\boldsymbol{\mathrm{a}}\right)^{−\boldsymbol{\mathrm{n}}} }{\left(\boldsymbol{\mathrm{n}}+\mathrm{2}\right)^{\mathrm{2}} }\left(\boldsymbol{\psi}\left(\frac{\boldsymbol{\mathrm{n}}+\mathrm{4}}{\mathrm{2}}\right)−\boldsymbol{\psi}\left(\frac{{n}+\mathrm{3}}{\mathrm{2}}\right)\right)=??? \\ $$ Answered by witcher3 last updated on 02/Aug/23 $$\Psi\left(\mathrm{1}+\mathrm{x}\right)=−\gamma+\int_{\mathrm{0}} ^{\mathrm{1}}…