Section 8.5 Improper Integrals Involving Trigonometric Functions - Maple Application Center
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Section 8.5 Improper Integrals Involving Trigonometric Functions

Authors
: Dr. John Mathews
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Let P and Q be polynomials of degree m; and n;, respectively, where m+1 <= n;. We can show (but omit the proof) that if Q(x) <> 0; for all real x, then `P.V. `*Int(P(x)/Q(x)*cos(x),x = -infinity .. infinity); and `P.V. `*Int(P(x)/Q(x)*sin(x),x = -infinity .. infinity); are convergent improper integrals. Integrals of this type are sometimes encountered in the study of Fourier transforms and Fourier integrals. We now show how to evaluate them.

Application Details

Publish Date: October 01, 2003
Created In: Maple V
Language: English

Tags

relativity

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