vector calculus 16 7 surface integrals in this section we will learn about integration of different types of surfaces parametric surfaces suppose a surface s has a vector equation r ...
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...Vector calculus surface integrals in this section we will learn about integration of different types surfaces parametric suppose a s has equation r u v x i y j z k d first assume that the parameter domain is rectangle and divide it into subrectangles with dimensions ij then divided corresponding patches evaluate f at point p each patch multiply by area form riemann sum mn integral take limit as number increases define over ds lim analogues to definition line double approximate an approximating parallelogram tangent plane...