Calculus: Integration - Partial Fractions (5 of 16) Case 3: Distinct Quadratic Factors

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In this video I will explain partial fraction Case 3: Distinct Quadratic Factors.
  1. Michel van Biezen
  2. ilectureonline
  3. ilectureonline.com
  4. Mike
  5. Mike van Biezen
  6. van Biezen
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Wonderful.Thank you for making life better for math majors everywhere

valeriereid
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And what if, for instance, we had an expression in the denominator such as X* (____). The expression in the brackets is let's say a THIRD degree polynomial with complex solutions (just as x^2+4 has complex solutions), meaning we can't factorize it any further. Is the numerator of the partial fraction still a FIRST degree polynomial Ax + B, or do we have to put it as Ax^2 +Bx + C (so that the numerator and denominator differ by one degree) ?

Hope I've made my question clear enough, and if you find some time to answer, I'd appreciate.
Best regards!

idmila
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hi. i found out that integral of 1 over x^2+4 =arc tan x/2. do you have a video that shows this? thanks youve been a great help :)

marckwilson
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Sorry sir, something i haven't understand..., if you factor out that x, you remain with x + x inside the bracket which looks as you can treat it as linear

pettermollel
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I watch some of your videos and i hope you could enhance your lighting badly needs for us to adjust brightness

erlcamanzo