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A definite integral is an integral (1) with upper and lower limits. If is restricted to lie on the real line, the definite integral is known as a Riemann integral (which is the usual definition encountered in elementary textbooks). However, a general definite integral is taken in the complex plane, resulting in the contour integral (2) with , , and in general being complex numbers and the path of integration from to known as a contour. The first fundamental theorem of calculus allows definite integrals to be computed in terms of indefinite integrals, since if is the indefinite integral for a continuous function , then
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submitted by edison (4866 m) on 21 Feb 2008 08:59:19 IST (0 comments 110 views)
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