Category: Integration

Question Number 38467 by maxmathsup by imad last updated on 25/Jun/18 $$calculate{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{cos\left(ax\right)ch\left(bx\right)}{x^2+1}dx.$$ Commented by math khazana by abdo last updated…

Question Number 38464 by maxmathsup by imad last updated on 25/Jun/18 $$letf\left(x\right)={\int }_0^1\frac{ln(1-x^2{t}^2)}{t^2}dtwith\mid x\mid <1$$$$findf\left(x\right)atasimpleform.$$ Commented by abdo.msup.com last…

Question Number 38461 by maxmathsup by imad last updated on 25/Jun/18 $$findf\left(x\right)={\int }_0^{\mathrm{\infty }}arctan(1+e^{-xt})dtwithx>0$$$$2)find{\int }_0^{\mathrm{\infty }}arctan(1+e^{-2t})dt.$$ Terms of Service…

Question Number 38460 by maxmathsup by imad last updated on 25/Jun/18 $$let\mid x\mid >1findthevalueof$$$$F\left(x\right)={\int }_0^{\mathrm{\infty }}ln(1+{xt}^2)dt$$$$2)calculate{\int }_0^{\mathrm{\infty }}ln(1+3t^2)dt.$$ Commented…

Question Number 38458 by maxmathsup by imad last updated on 25/Jun/18 $$let\mid x\mid <1calculateF\left(x\right)={\int }_0^{1}ln(1+{xt}^2)dt$$$$2)findthevalueof{\int }_0^{1}ln(1+\frac{1}{2}{t}^2)dt$$$$\left.\mathrm{3}\right){find}\:{the}\:{value}\:{of}\:{A}\left(\theta\right)\:=\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\mathrm{1}+{sin}\theta\:{t}^{\mathrm{2}} \right){dt}\:.…