An Alternative Definition for Improper Integral with Finite Limits

نویسنده

  • Michael A. Blischke
چکیده

There are two basic types of improper integrals. Integrals with an infinite limit are defined as the limit of a series of proper integrals as one of the limits approaches infinity. Improper integrals with finite limits are needed when the integrand does not have a finite limiting value as the variable of integration approaches a particular “critical” value. In this case, the improper integral is defined as the limit of a series of proper integrals as one of the limits approaches the critical value. Improper integrals with more than one critical value, or with interior critical values, can be found as a sum of these two basic types. The improper integral with an infinite upper limit defined by ∫ ∞

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تاریخ انتشار 2008