Question Number 26057 by abdo imad last updated on 18/Dec/17 $${find}\:{a}\:{integral}\:{form}\:{of}\:\:{L}\left(\:\:{e}^{−{x}^{\mathrm{2}} } \:\right) \\ $$$${L}\left({f}\right)\:{means}\:{laplace}\:{transform}\:{of}\:{f}\:. \\ $$ Commented by abdo imad last updated on 21/Dec/17…
Question Number 26055 by abdo imad last updated on 18/Dec/17 $${calculate}\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\left(\mathrm{1}+{t}^{\mathrm{2}} \right)^{\mathrm{1}/\mathrm{2}} {dt} \\ $$ Answered by Joel578 last updated on 19/Dec/17 $${I}\:=\:\int_{\mathrm{0}}…
Question Number 91593 by jagoll last updated on 01/May/20 $$\int\:\frac{\mathrm{sec}\:{x}\:{csc}\:{x}\:{dx}}{\mathrm{ln}\left(\mathrm{tan}\:^{\mathrm{2}} {x}\right)}\:? \\ $$ Answered by john santu last updated on 01/May/20 Terms of Service Privacy…
Question Number 26054 by abdo imad last updated on 18/Dec/17 $$\left.{if}\:\:\left(\mathrm{1}+{cos}\left({x}\right)\right)^{−\mathrm{1}} \:=\:{a}_{\mathrm{0}} /_{\mathrm{2}} \:\:+\sum_{{n}=\mathrm{1}} ^{{n}=\propto} \:{a}_{{n}} \:{cos}\left({nx}\right)\right) \\ $$$${find}\:{a}_{\mathrm{0}} \:{and}\:\:{a}_{{n}} …{you}\:{can}\:{use}\:{fourier} \\ $$$${series}. \\ $$$$…
Question Number 157096 by amin96 last updated on 19/Oct/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \boldsymbol{\mathrm{xsin}}\left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{ln}}\left(\boldsymbol{\mathrm{sin}}\left(\boldsymbol{\mathrm{x}}\right)\right)\boldsymbol{\mathrm{dx}}=? \\ $$ Answered by mindispower last updated on 19/Oct/21 $$\left.\left(−{xcos}\left({x}\right)+{sin}\left({x}\right)\right){ln}\left({sin}\left({x}\right)\right)\right]_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} +\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 157099 by mathlove last updated on 19/Oct/21 Commented by yeti123 last updated on 19/Oct/21 $$\int_{\mathrm{2021}} ^{\:\mathrm{2021}} {f}\left({x}\right)\:{dx}\:=\:\mathrm{0} \\ $$ Commented by puissant last…
Question Number 26024 by abdo imad last updated on 17/Dec/17 $$\left.{e}\:{give}\:{a}\:{element}\:{from}\right]\mathrm{0}.\propto\left[\:\:{find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left(\:{ax}^{\mathrm{2}} \right)\right. \\ $$$${and}\:\:\int_{\mathrm{0}} ^{\infty} \:{sin}\left(\:{ax}^{\mathrm{2}} \right){dx}. \\ $$ Terms of Service Privacy…
Question Number 26023 by abdo imad last updated on 17/Dec/17 $${answer}\:{to}\:{question}\mathrm{25980}\:{key}\:{of}\:{slution}\:{we}\:{develop}\:\:{the} \\ $$$${foction}\:{f}\left({x}\right)\:=\:{sin}\left({px}\right)\:{at}\:{fourier}\:{serie}\left(\left({f}\:\mathrm{2}\pi\:{periodic}\right)\right. \\ $$$${f}\left({x}\right)=\:\sum_{{n}=\mathrm{1}} ^{{n}=\propto} \:{a}_{{n}} {sin}\left({nx}\right)\:{and}\:\:{a}_{{n}} =\:\mathrm{2}/{T}\:\int_{\left[{T}\right]} {sin}\left({px}\right){sin}\left({nx}\right){dx}\:\:\:\left({T}=\mathrm{2}\pi\right) \\ $$$$ \\ $$$$ \\…
Question Number 91555 by mr W last updated on 01/May/20 Commented by jagoll last updated on 01/May/20 $${i}\:{forgot}\:{the}\:{section}\:\lfloor{x}\rfloor\: \\ $$ Commented by mathmax by abdo…
Question Number 91542 by jagoll last updated on 01/May/20 $$\int\:\frac{{x}^{\mathrm{3}} }{\mathrm{2}{x}+\mathrm{1}}\:{dx}\:=\:? \\ $$ Commented by Prithwish Sen 1 last updated on 01/May/20 $$\mathrm{put}\:\mathrm{2x}+\mathrm{1}=\frac{\mathrm{1}}{\mathrm{t}}\:\Rightarrow\:\mathrm{dx}\:=\:−\frac{\mathrm{dt}}{\mathrm{2t}^{\mathrm{2}} } \\…