another-partial-fractions-example-with-distinct-linear-factors-kristakingmath

► My Integrals course: https://www.kristakingmath.com/integrals-course

The tricky thing about partial fractions is that there are four kinds of partial fractions problems. The kind of partial fractions decomposition you'll need to perform depends on the kinds of factors in your denominator.

You can have 1) Distinct linear factors, 2) Distinct quadratic factors, 3) Repeated linear factors, or 4) Repeated quadratic factors. You can also have a mix of any and all of these.

In this video, we're going to look at a partial fractions problem with distinct linear factors. We'll do the partial fractions decomposition, and then use the method of undetermined coefficients to solve for our constants. Then we'll plug these back into the decomposition, and the decomposition back into the integral, and then we'll be able to evaluate the integral.

Remember, partial fractions in general is a method of integration that you can use to simplify rational functions to make them easier to integrate. If it's possible to integrate the function directly, or to use u-substitution or integration by parts, those methods will all likely be easier and quicker than partial fractions, so you should consider them before you try this.

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● ● ● CONNECT WITH KRISTA ● ● ●

Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com

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Tagged under: linear factors,educational,distinct linear factors,integrals, ,methods integration,Krista King,partial fractions,integration,calculus

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