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Surface Integration of a Function on a Surface Defined over a General 2-D Region
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Description
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Formulate and evaluate the surface integral of  on a surface defined over a general 2-D region.
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Surface Integral on a Surface Defined over a General 2-D Region
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![∫(∫)[S]f ⅆsigma =(∫)[x=a]^(x=b)(∫)[y=u(x)]^(y=v(x))f(x,y,z(x,y)) sqrt(1+z[x]^(2)+z[y]^(2)) ⅆy ⅆx](/support/helpjp/helpview.aspx?si=4004/file05527/math96.png)
![∫(∫)[S]f ⅆsigma=](/support/helpjp/helpview.aspx?si=4004/file05527/math100.png) ![(∫)[y=a]^(y=b)(∫)[x=u(y)]^(x=v(y))f(x,y,z(x,y)) sqrt(1+z[x]^(2)+z[y]^(2)) ⅆx ⅆy](/support/helpjp/helpview.aspx?si=4004/file05527/math101.png)
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