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Question: Surface integral

Question:Surface integral

isabelmacpherson 30
integration homework surface
November 27 2020
1

I am trying to solve a surface integral but I am not able to get Maple to give me an actual value.  Please can you help?

 

This is what I wrote:

restart;
with(Student[VectorCalculus]):
with(Student[MultivariateCalculus]):
x:=u; y:=v; z:=(2*u*v)/(4*v-3*u);
r:=<x,y,z>;
ru:=diff(r,u);
rv:=diff(r,v)
n:=simplify(CrossProduct(ru,rv));
f:=(x,y,z)->x^2*y+3*x*z-2*y^2;
simplify(Int(f(x,y,z)*Norm(n),u=1..2,v=1..4));
int(f(x,y,z)*Norm(n),u=1..2,v=1..4, numeric=true);
 
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