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    Hi, how would you know when to use partial fractions?

    E.g. I was integrating and came across 1/(x)(2-x)
    anyone know how and when to use partial fractions?

    thanks
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    Hello, I've moved this to maths for you.

    When you look at integrals, you need to think about what methods you could use eg:

    Inverse chain rule? No it's not in the right form (because we have x^2).

    etc and then you'll come to partial fractions and think, "aha that's the right method!"

    When I was doing c4 integration, my teacher give us a list of the different types of integrals and what techniques you'd use. Maybe you'd find making one of those useful?
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    Basically if you have to factors that are multiplied on the denominator, it's probably best to use partial fractions.
    Sometimes there will be a polynomial on the denominator which can be factorised into 2 linear factors. This allows you to integrate when there is a long expression on the denominator. Also though you can use partial fractions for integrating something like
     \displaystyle \frac{1}{(x-3)(x^2+1)} .
 
 
 
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