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Question: Maple is unable to solve this integral. Help!!!

Question:Maple is unable to solve this integral. Help!!!

isabelmacpherson 30 Maple
integration numeric surface-area multivariate-calculus
October 21 2020
3

I am trying to find the surface area of f(x,y) but Maple seems unable to calculate it even numerically.  Any help would be much appreciated.  I'm not sure if I have written this correctly.

 

f := (x, y) -> x^4*sin(x^2 + y^3)^2*ln(y) + 2*y*x

fx := 4*x^3*sin(y^3 + x^2)^2*ln(y) + 4*x^5*sin(y^3 + x^2)*ln(y)*cos(y^3 + x^2) + 2*y

fy := 6*x^4*sin(y^3 + x^2)*ln(y)*y^2*cos(y^3 + x^2) + x^4*sin(y^3 + x^2)^2/y + 2*x

Int(Int(sqrt(fx^2 + fy^2 + 1.), x = 0. .. 4.), y = 1. .. 5.)

 
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