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Definite Integral of a Vector-Valued Function The definite integral of on the interval is defined by We can extend the Fundamental Theorem of Calculus to vector-valued functions. If is
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The following vector integrals are related to the curl theorem. If F=cxP(x,y,z), (1) then int_CdsxP=int_S(daxdel )xP. (2) If F=cF, (3) then int_CFds=int_Sdaxdel F. (4) The following