Question Number 29000 by abdo imad last updated on 03/Feb/18 $${prove}\:{thst}\:\:\:\:\int_{\mathbb{R}} \:\:\:\:\frac{{e}^{{i}\xi{x}} }{\mathrm{1}+{x}^{\mathrm{2}} }{dx}=\:\pi\:{e}^{−\mid\xi\mid} \:\:. \\ $$ Commented by abdo imad last updated on 04/Feb/18…
Question Number 29001 by abdo imad last updated on 03/Feb/18 $${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{cos}\left(\xi{t}\right)}{\mathrm{1}+{t}^{\mathrm{4}} }{dt}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28997 by abdo imad last updated on 03/Feb/18 $${find}\:\int_{−\infty} ^{+\infty} \:\:\:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\:\mathrm{2}+{e}^{{ix}} \right)}\:. \\ $$ Commented by abdo imad last updated on 04/Feb/18…
Question Number 28998 by abdo imad last updated on 03/Feb/18 $${find}\:\int_{\gamma} \:\:\:\:\frac{{e}^{{z}} }{{z}\left({z}+\mathrm{1}\right)}{dz}\:{with}\:\gamma=\left\{{z}\in{C}/\:\mid{z}−\mathrm{1}\mid=\mathrm{2}\right\} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28999 by abdo imad last updated on 03/Feb/18 $${prove}\:{that}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{e}^{−{t}} }{\:\sqrt{{t}}}{dt}=\:{e}^{{i}\frac{\pi}{\mathrm{4}}} \:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{e}^{−{ix}} }{\:\sqrt{{x}}}{dx}. \\ $$ Commented by abdo imad last…
Question Number 28996 by abdo imad last updated on 03/Feb/18 $${find}\:\:\int_{−\infty} ^{+\infty} \:\:\:\:\:\:\:\frac{{x}^{\mathrm{2}} }{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} \left({x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{2}\right)}{dx}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 28995 by abdo imad last updated on 02/Feb/18 $${find}\:\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{{cos}\left(\mathrm{2}{t}\right)}{\mathrm{3}−{cost}}\:{dt}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 94530 by i jagooll last updated on 19/May/20 Commented by PRITHWISH SEN 2 last updated on 19/May/20 $$\int\frac{\mathrm{x}^{\mathrm{2}} \mathrm{dx}}{\mathrm{x}^{\mathrm{3}} .\sqrt[{\mathrm{3}}]{\mathrm{x}^{\mathrm{3}} +\mathrm{1}}}\:\:\:\:\mathrm{put}\:\mathrm{x}^{\mathrm{3}} +\mathrm{1}\:=\:\mathrm{t}^{\mathrm{3}} \:\Rightarrow\mathrm{x}^{\mathrm{2}}…
Question Number 28994 by abdo imad last updated on 02/Feb/18 $${find}\:\:{A}_{{n}} =\:\:\int_{−\infty} ^{+\infty} \:\:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{{n}} }\:\:{with}\:{n}\:{from}\:{N}\:{and}\:{n}\geqslant\mathrm{1}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28992 by abdo imad last updated on 02/Feb/18 $${L}\:{means}\:{laplace}\:{transform}\:{find}\:\:{L}\left({e}^{{at}} \right)\left({s}\right). \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com