Symmetry in Integrals: Even vs. Odd Integrals

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.

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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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