No need for partial fraction decomposition (6 integrals of rational functions)

Dear calculus 2 students! Here we will discuss the rational functions that we like to integrate. No need to do partial fractions!

0:00 6 integrals of rational functions that we like
0:16 Q1 use the formula integral of 1/(ax+b)
1:17 Q2 integral of a rational function by u-substitution
3:35 Q3 integral by using the inverse tangent formula
5:00 Q4 integral by u-substitution
6:18 Q5 integral by u-substitution
7:35 Q6 integral with completing the square
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[ianhart]

Thank you so much for this. This was an exact question on my test asking which integral did not require PFD to solve. I got it right because of you :)

[wuyqrbt]

Teacher ; I have some recommendations (or requests).
Please make videos and teaches us these subjects:
___Fourier transform (you have Fourier series but I didn't find transform).
___Vector analysis (Curl، Divergence and ... And explain their meanings).
___Matrix (please more and more about matrices)
___Group Theory and Lie algebra.
___More about complex analysis (especially Cauchy integral and residue ... )
...
(It's not all of my requests, I postponed it in future!!)
Thank you

[wuyqrbt]

Hello teacher ...
Anytime and after you finished the examples, it would be great If you suggest an integral (or anything) as an exercise.
Thank you so much