Integration By Partial Fractions

This calculus video tutorial provides a basic introduction into integrating rational functions using the partial fraction decomposition method. Partial fraction decomposition is the process of breaking a single complex fraction into multiple simpler fractions. The integrals of many rational functions lead to a natural log function with absolute value expressions. This video explains what to do when you have repeated linear factors and quadratic factors. This tutorial contains many examples and practice problems on integration by partial fractions.
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    @TheOrganicChemistryTutor2 жыл бұрын

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  • @georgesadler7830
    @georgesadler7830 Жыл бұрын

    Professor Organic Chemistry Tutor, thank you for another incredible video/lecture on Integration by Partial Fractions. Partial Fraction Integration is a big part of Techniques of Integration in Calculus Two. This topic is not difficult however, the algebra can get really messy from start to finish. There are multiple ways to find the constants for problems that involve Partial Fractions in Precalculus/Calculus. This is an error free video/lecture on KZread TV with the Organic Chemistry Tutor.

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    36:19 This part is a life-saver. WOW, I needed to know this. Thank you

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    Жыл бұрын

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    @the_kid7777 ай бұрын

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    7 ай бұрын

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    @estherudoisang2355 Жыл бұрын

    I wanted to learn integration by partial fraction but I have learned so much more. Thanks so much

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    you deserve to teach at oxford. you a true legend

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    @yashmundada3191 Жыл бұрын

    This is the most legit video on integration I have ever seen. Thank you so much

  • @theranker3101
    @theranker31018 ай бұрын

    Thank You so much for this! Partial fractions always seemed so difficult but you made it feel like nothing. You're a legend!

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    2 жыл бұрын

    Heyhey. I have a question. in 34:37 How does the "A" turned into "-1"? I am confused in that part.

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  • @yegorgalyas5562
    @yegorgalyas55623 жыл бұрын

    I have a question: how do you know when to use U substitution, integration by parts, or partial fraction method when looking at an integral? What do you need to look out for in an integral to determine the method of solution? Basically what is a rule of thumb for these things?

  • @314shorts

    @314shorts

    3 жыл бұрын

    Usually, you should try a u substitution as the first method. If that doesn’t work, then use integration by parts for multiplication or partial fractions for division. Eventually, you’ll be able to intuitively tell what integrals to use which techniques on, but it takes practice. I usually just do a u substitution in my head and then sus out whether the u substitution will take care of the entirety of the integral.

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    @mellie4679

    2 жыл бұрын

    genuinely you cannot know for sure it just takes practice and working a lot on a problem while trying everything

  • @obada.

    @obada.

    2 жыл бұрын

    As a general rule of thumb, I always start with u substitution. In case it didn't work, I remind myself of several procedures based on the first glance at the problem: if it contains a lone natural log, exponential function (especially e^x) or inverse trig function, I would try By Parts first. if it contains powers of sec and tan, or sin and cos, I would try Identities method first. if it contains sqrt(u^2 +- a^2), I would try Trigonometric Substitution. if it has polynomials (long expression), I would try Partial Fraction.

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    @josuke21

    2 жыл бұрын

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    @nhatanhng032 жыл бұрын

    in 23:36 why did you take x=3 instead of any numbers?

  • @JKMath

    @JKMath

    2 жыл бұрын

    Choosing 3 for x is not the only way to solve that equation. He could have picked any value of x really, as long as it was not 1 or 2, since those two numbers would cause some of the terms in the equation to be 0 and then eliminate the variable B he wanted to solve for because anything times 0 is 0. So you could have picked 4, 5, or any other number and it should still work. I hope this helps!

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    @ConquerTheCurve

    Жыл бұрын

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    @Ema-yh5brАй бұрын

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    @shadhao99744 ай бұрын

    This is so cool to watch and understand 🎉

  • @mdimaio111
    @mdimaio111 Жыл бұрын

    Thank you for curing everyone’s ocd 6:53

  • @ashokchoudhary4709
    @ashokchoudhary47093 жыл бұрын

    Multitalented man Love from india🥰