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Author: Tinku Tara

let-0-lt-a-lt-1-calculate-0-ln-t-t-a-1-1-t-dt-and-0-ln-2-t-t-a-1-1-t-dt-

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Question Number 73238 by mathmax by abdo last updated on 08/Nov/19 $${let}\:\mathrm{0}<{a}<\mathrm{1}\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{ln}\left({t}\right){t}^{{a}−\mathrm{1}} }{\mathrm{1}+{t}}{dt}\:\:{and}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{ln}^{\mathrm{2}} \left({t}\right){t}^{{a}−\mathrm{1}} }{\mathrm{1}+{t}}{dt} \\ $$ Commented by mathmax by…

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calculate-A-n-0-1-x-n-2-x-2n-dx-and-J-n-0-2-x-3n-5-x-7n-dx-with-n-integr-natural-not-0-

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Question Number 73230 by mathmax by abdo last updated on 08/Nov/19 $${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{1}+{x}^{{n}} }{\mathrm{2}+{x}^{\mathrm{2}{n}} }{dx}\:\:{and}\:{J}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{2}+{x}^{\mathrm{3}{n}} }{\mathrm{5}+{x}^{\mathrm{7}{n}} }{dx} \\ $$$${with}\:{n}\:{integr}\:{natural}\:{not}\:\mathrm{0} \\…

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Find-the-impedence-of-an-RC-circuit-with-R-10-and-C-10-F-at-an-angular-frequency-of-21800rads-1-

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Question Number 138764 by otchereabdullai@gmail.com last updated on 17/Apr/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{impedence}\:\mathrm{of}\:\mathrm{an}\:\mathrm{RC}\:\mathrm{circuit} \\ $$$$\mathrm{with}\:\mathrm{R}=\:\mathrm{10}\Omega\:\mathrm{and}\:\mathrm{C}=\mathrm{10}\mu\mathrm{F}\:\mathrm{at}\:\mathrm{an}\: \\ $$$$\mathrm{angular}\:\mathrm{frequency}\:\mathrm{of}\:\mathrm{21800rads}^{−\mathrm{1}} \\ $$ Answered by ajfour last updated on 18/Apr/21 $${Z}=\sqrt{{R}^{\mathrm{2}} +\frac{\mathrm{1}}{\left(\omega{C}\right)^{\mathrm{2}}…

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