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Improper Integral

A definite integral for which the integrand has a discontinuity between the bounds of integration, or which has ∞ and/or –∞ as a bound. Improper integrals are evaluated using limits as shown below. If the limit exists and is finite, we say the integral converges. If the limit does not exist or is infinite, we say the integral diverges.

 

 

 

See also

Integral test

 


  this page updated 21-feb-16
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes