In this video we use i to help break up our function so we can do a partial fraction decomposition. This allows all of our factors to be nice linear terms. Note that this is not contour integration, rather just factoring and using i as a constant to make antiderivatives nice and simple.
▬▬ Chapters ▬▬▬▬▬▬▬▬▬▬▬
0:00 Start
0:32 Example
0:44 Partial fraction decomposition
1:40 Determine the unknown coefficients
4:53 Solving a system of linear equations
6:39 Taking the antiderivative
7:33 Simplify the expression
9:22 Evaluate the expression at the bounds
10:48 Writing the final answer
11:18 Wrap up information and ending
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This video is related to many other topics. Check them out:
The basics of indefinite integrals: • Calculus The basics of indefinite i...
Partial fraction decomposition: • PreCalculus Partial fraction decom...
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