Calculus/calculus

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Question
plzzzzzzz clearly explain partial differentiation and countour integration

Answer
Partial integration is done on a function of many variables
with respect to only one varible.
Suppose f(x,y,z) = x^2 + y^3 + x/z.
Writing the d's funny gives df/dx = 2x + 1/z, df/dy = 3y^2, and df/dz = -x/z^2.

I found contour integration here:
http://en.wikipedia.org/wiki/Methods_of_contour_integration
Three areas it is used are for complex integration, in the Cauchy integral formula, and
for applying the residue theorem.

There is a crash course in contour integration here:
http://www.youtube.com/watch?v=xIAyiP4LrDE

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