Lec 6 - Integration by Rational Function by Partial Fraction
Techniques of Integration
We will learn how to do this backwards so that the integrand can be rewritten as a sum of terms each of which we can be rewritten as a sum of terms each of which we can integrate.
We only apply partial fractions on proper rational functions.
If not proper then we long division to reduce it
We can use long division.
Step 1: Use long division to get a proper fraction
Step2: Decompose our proper rational function
In this case we always assume,
The method I present is different from the textbook.
On the LHS, we have
Step 1: It is proper, no long division.
Step 2: We use partial fractions
Step 3: Evaluate
What if weinstead have
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