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JOURNALS // Mathematical Education // Archive

Math. Ed., 2024 Issue 3(111), Pages 17–25 (Mi mo881)

Students and teachers of secondary school

Natural logarithm

E. V. Shchepin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: The article presents a methodologically interesting and geometrically clear presentation of the concept of a natural logarithm as the area of a hyperbolic trapezoid with a variable vertical boundary. In this case, the author does not need to apply the full theory of integration; it is enough to determine the area of the hyperbolic trapezoid and find out a number of its properties.

UDC: 517.18



© Steklov Math. Inst. of RAS, 2025