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    Hi,

    I was just wondering how you would know what method of integration to use for different types of equations. For example, I can’t decide whether to use integration by parts or substitution or the reverse chain rule. Are there any tricks or is it just all practise?

    Thanks a lot
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    (Original post by Yodalam)
    Hi,

    I was just wondering how you would know what method of integration to use for different types of equations. For example, I can’t decide whether to use integration by parts or substitution or the reverse chain rule. Are there any tricks or is it just all practise?

    Thanks a lot
    IBP when you're integrating a product of two different functions. Try to use substitution if there is something to substitute for and its derivative is there as well.

    Difficult to say definitely what to use all the time, but yeah, you get it with practice.

    What would be the best approach for \displaystyle 2\int xe^{x^2}.dx?
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    (Original post by Yodalam)
    Hi,

    I was just wondering how you would know what method of integration to use for different types of equations. For example, I can’t decide whether to use integration by parts or substitution or the reverse chain rule. Are there any tricks or is it just all practise?

    Thanks a lot
    First if it's a fraction, try to make it a partial fraction
    Integration by;
    inspection
    substitution
    parts

    in that order.

    If you can't do it by inspection try a substitution, if that fails, try a u-sub, and if that's going nowhere integration by parts. After going through this process, you won't have to after a while and can see that when a sub will fail in your head.
 
 
 
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