Asked by kawi
By changing the order of integration, prove that ∫_0^1▒∫_0^(√(1-x^2 ))▒〖{dy/((1+e^y)√(1-x^2-y^2 ))}dx=π/2 log(2e/(1+e)) 〗
Answers
Answered by
Steve
Is the integrand really
1
-------------------------------
(1+e^y)√(1-(x^2+y^2))
??
I don't think that's doable with elementary functions
1
-------------------------------
(1+e^y)√(1-(x^2+y^2))
??
I don't think that's doable with elementary functions