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Symmetry in Integrals: Even vs. Odd Integrals

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First published at 19:17 UTC on March 30th, 2020.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over the theorem on integrating symmetric functions which greatly simplifies integration. For even functions the integral from -a to a is just two times the integral from 0 to a. For odd functions, the integral from -a to a is simply zero. In this video I also provide a simple proof of this theorem while utilizing the substitution rule for integrals and properties of definite integrals.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIg4F51YbelcJqdjDD2w?e=24lko7

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/symmetry-in-integrals-even-vs-odd-integrals

Related Videos:

The Substitution Rule for Definite Integrals: http://youtu.be/AzmYfV1vsbU
The Substitution Rule for Integrals: http://youtu.be/VsLC-0g6hVg
The Definite Integral - Brief Introduction: http://youtu.be/vhMP5SKbQjU
Properties of Definite Integrals - Part 1: http://youtu.be/XAel-Zti_Hs
Properties of Definite Integrals - Part 2: http://youtu.be/lxkQmB11qoU .

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