In this video I go over another example on integrating rational functions through the method of partial fractions and this time integrate the function (x^2+2x-1)/(2x^3+3x^2-2x). This requires using partial fraction decomposition and break down the rational function into simpler partial fractions which we know the integral of. Also in this video I allude to a theorem about inputting values even if the overall function is not defined for those variables. This theorem is actually a corollary to the continuity theorem and I will prove this in my next video so stay tuned for that!
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View Video Notes on Steemit: https://steemit.com/mathematics/@mes/integration-by-partial-fractions-example-2
Related Videos:
Integration by Partial Fractions: Example 1:
Integration by Partial Fractions:
Partial Fraction Decomposition: Summary and Higher Powers:
Partial Fraction Decomposition: Proof of General Case with Linear Factors:
Partial Fraction Decomposition: Proof of the Simplest Case:
Partial Fraction Decomposition: Why it doesn't for Improper Fractions:
Partial Fraction Decomposition: Non-Linear and Repeating Factors:
Partial Fraction Decomposition: Non-Linear Factors:
Partial Fraction Decomposition: Repeating Factors:
Partial Fraction Decomposition: General Techniques:
Area Under a Curve: Introduction to Integral Calculus: .
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I don't always integrate rational functions using partial fractions but when I do I usually go over 2 methods for solving the coefficients of the partial fractions ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/integration-by-partial-fractions-example-2