Kevin Kreutz
Location Berlin, Germany Working on Modelling weather patterns Reading Demons by Dostoevsky Location Berlin, Germany Working on Modelling weather patterns Reading Demons by Dostoevsky
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Evaluating Definite Integrals Using Symmetry

August 16, 2026 · 1 min read

$f(x)$ is an even-function if $f(-x)=f(x)$

  • graph of an even $f(x)$ is always symmetric about the y-axis $g(x)$ is an odd- function if $g(-x)=-g(x)$ This will help us solve these type of integrals quicker
  • The graph of an odd function always has rotational symmetry of order 2 about the origin. In other words, if we rotate the graph $180\textdegree$ about the origin, the resulting graph looks the same.