What if we take step functions instead of simple functions in the Lebesgue integral
4136
Pull the teeth out of Lebesgue integration
141024
Generalising integration by parts for the product of more than two functions
66304
How to evaluate these integrals by hand
144018
Integration by parts for f(x).g(x)
138742
Why must the integral of a nonzero continuous function be nonzero?
52293
The equivalence of definitions Riemann integral
83191
improper integrals (comparison theorem)
54137
Find a non-negative function on [0,1] such that $t\cdot m(\{x:f(x) \geq t\}) \to 0$ that is not Lebesgue Integrable
78572
Why do we restrict the definition of Lebesgue Integrability?
85208
Is there a function with infinite integral on every interval?
10790
Integration of a function with respect to another function.
29296
Are there any special rules when making a substitution in an integral?
151698
Integral of a square compared to the square of an integral
19452
Restriction of a Lebesgue integral to a subset of a measurable set.
140153
Conjectures Involving floor(x)/piecewise continuity with regards to Integration and Differential Equations
153357
Why is step function not used in activation functions in machine learning?
106191
Integrating Floor Functions