Integration by Partial Fractions: Example 3

In this video I go over another example on integrating rational functions by the method of partial fractions and this time solve the integral of 1/(x^2 - a^2) where a is not equal to 0. The result of this integral is a useful formula which can be used to simplify and solve integrals where a polynomial in the denominator can be written as a difference of squares.

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Corollary of Continuity Theorem: Proof: http://youtu.be/euAJAiFdIAA Integration by Partial Fractions: Example 2: http://youtu.be/Fi16rcXUxHo Integration by Partial Fractions: Example 1: http://youtu.be/UZthT_bCKyU Integration by Partial Fractions: http://youtu.be/r07NnKf76og Partial Fraction Decomposition: Summary and Higher Powers: http://youtu.be/lSlkhrF09ww Partial Fraction Decomposition: Proof of General Case with Linear Factors: https://youtu.be/crTTU9SpTNI Partial Fraction Decomposition: Proof of the Simplest Case: http://youtu.be/Eq5yLJmC6pw Partial Fraction Decomposition: Why it doesn't for Improper Fractions: http://youtu.be/5QQP2kqE_ss Partial Fraction Decomposition: Non-Linear and Repeating Factors: http://youtu.be/wZVI5Gsc4WU Partial Fraction Decomposition: Non-Linear Factors: http://youtu.be/ZK8akA4BE84 Partial Fraction Decomposition: Repeating Factors: http://youtu.be/9xlyx5NumkI Partial Fraction Decomposition: General Techniques: http://youtu.be/bqf42x6nZoo Area Under a Curve: Introduction to Integral Calculus: http://youtu.be/JbEbhv8ybmE Derivative of y = Log(x) and y = Ln(x): http://youtu.be/5e6MisvvMPE .

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