A type of integral named after Henstock and Kurzweil. Every Lebesgue integrable function is HK integrable with the same value.
HK Integral
References
Shenitzer, A. and Steprans, J. "The Evolution of Integration." Amer. Math. Monthly 101, 66-72, 1994.Referenced on Wolfram|Alpha
HK IntegralCite this as:
Weisstein, Eric W. "HK Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HKIntegral.html