## Real Analysis Exchange

### A change of variables theorem for the Riemann integral

#### Abstract

The change of variables formula for the Riemann integral is discussed and a theorem is proved which perhaps compares favorably with its counterpart in Lebesgue theory.

#### Article information

Source
Real Anal. Exchange, Volume 22, Number 1 (1996), 390-395.

Dates
First available in Project Euclid: 1 June 2012

https://projecteuclid.org/euclid.rae/1338515231

Mathematical Reviews number (MathSciNet)
MR1433624

Zentralblatt MATH identifier
0879.26036

Keywords
Riemann integration substitution

#### Citation

Sarkhel, D. N.; Výborný, Rudolf. A change of variables theorem for the Riemann integral. Real Anal. Exchange 22 (1996), no. 1, 390--395. https://projecteuclid.org/euclid.rae/1338515231

#### References

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• K. Krzyżewski, On change of variable in the Denjoy-Perron integral II, Coll. Math, 9 (1962), 317–323.
• J. Serrin and D. E. Varberg, A General Chain Rule for Derivatives and Change of Variables Formula for the Lebesgue Integral, The American Mathematical Monthly, 76 (1969), 514–520.
• de la Valée Poussin, Sur l'intégrale de Lebesgue, Trans. Amer. Math. Soc., 16 (1915), 435–501.