a problem with integration

Question:a problem with integration

Posted: mehdi jafari 769 Product: Maple

January 01 2020

Hi dear maple team. i have a question on integration and i need a "real" and "finite" solution with any assumption or options. thanks for the help.

restart

>	f := ((1 - a)^2 + a^2((1 - exp(-y))(1 - exp(-x)) - 2 + exp(-x) + exp(-y)) + a(2 - exp(-x) - exp(-y) + (1 - exp(-y))(1 - exp(-x))))/(1 - aexp(-x)exp(-y))^3;

((1-a)^2+a^2*((1-exp(-y))*(1-exp(-x))-2+exp(-x)+exp(-y))+a*(2-exp(-x)-exp(-y)+(1-exp(-y))*(1-exp(-x))))/(1-a*exp(-x)*exp(-y))^3

(1)

>	a := 0.3;f

(.91+.39*(1-exp(-y))*(1-exp(-x))-.21*exp(-x)-.21*exp(-y))/(1-.3*exp(-x)*exp(-y))^3

(2)

>	s := 2evalf(int((int(fexp(-x)*exp(-y), x = 0 .. y + t,AllSolutions)), y = 0 .. infinity,AllSolutions)) assuming real ;

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