In this video I go over another example on integrating rational functions through the method of partial fractions and this time integrate the function (x2+2x-1)/(2x3+3x2-2x). 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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Integration of Rational Functions by Partial Fractions: Example 2
Example:
Solution:
Note even though the function is not defined for x = 0, 1/2, and -2 we can still input these values when solving for A, B, and C. The proof for this will be shown in my next video.
Basically:
