Geodesic
The general change of variable formula for the Riemann integral
The Teaching of Mathematics, XXVIII (2025) no. 2, p. 100

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The change of variable theorem for functions that are Riemann integrable, i.eṅot obligatory continuous or monotonic, is established based on the definition of the integral and using nothing but the fundamentals of the Riemann theory. Specifically, the Lebesgue criterion for Riemann integrability or more advanced theories of integration are not required.
DOI : 10.57016/TM-LTQK8530
Classification : 97I50, I55
Keywords: Riemann integral, change of variable. 
Amar Sarić. The general change of variable formula for the Riemann integral. The Teaching of Mathematics, XXVIII (2025) no. 2, p. 100 . doi: 10.57016/TM-LTQK8530
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