A proper integral is a definite integral of a bounded function on a finite closed interval, taken in the ordinary Riemann integral sense (Hunter 2014, p. 212).
Proper Integral
See also
Improper Integral, IntegralExplore with Wolfram|Alpha
References
Hunter, J. K. An Introduction to Real Analysis. Davis, CA: University of California, 2014. https://www.math.ucdavis.edu/~hunter/intro_analysis_pdf/intro_analysis.pdf.Referenced on Wolfram|Alpha
Proper IntegralCite this as:
Weisstein, Eric W. "Proper Integral." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ProperIntegral.html