Many kinds of (real) definite integrals can be found using the results for contour integrals in the complex plane. As values of contour integrals can usually be written down with very little difficulty. We simply have to locate the poles inside the contour, find the residues at these poles, and then apply the residue theorem.
Just as aside note that our residue() function is very buggy, so you may wish to play with it as well. Fixing it may be quite a lot of work.
The more delicate part of the job is to choose a suitable contour integral i.e. one whose evaluation involves the definite integral required . In all these steps for a set of five types of definite integral: 1) integration of trignometric function over o t0 2pi. 2)indefinite integrals 3)function like trignometric function / polynomial function . 4)integrals in which residues come on real line 5)integral involving branch cuts. Well there is standard way defined to approach to these types of problems. As last year Definite integration using Meijer-G functions was implemented but many integrals can easily be calculated using residues which cannot be found using current algorithm . -- You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to sympy@googlegroups.com. To unsubscribe from this group, send email to sympy+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/sympy?hl=en.
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