Dear calculus 2 students. Here we have 3 integrals of rational functions and they all have an irreducible quadratic factor in the denominator.
More examples on polynomial long division: https://youtu.be/hA8O1xTwhJs?si=RxuAr0SDlmta8uf1
Blooper: https://youtu.be/imiAEXDRDys
Here's how to set up the partial fraction decomposition: https://youtu.be/DfTJOsqxIJ4
0:00 Q1 integral of x^4/(x^2+9)
3:15 Q2 integral of a big rational function
10:47 Q3 integral of a "bigger" rational function
Partial fraction decomposition playlist: https://bit.ly/calcPFD
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