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    I don’t understand question four:

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    (Original post by alevel.student99)
    I don’t understand question four:
    Do it by parts. Or if you can think of a very obvious substitution, use that to lessen the work.
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    (Original post by RDKGames)
    Do it by parts. Or if you can think of a very obvious substitution, use that to lessen the work.
    i've tried both but i have a massive feeling i'm doing it all wrong, i'll post my workings one sec
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    the first half i tried to do it by parts but it looks wrong,

    the second half is my attempt at substitution
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    (Original post by alevel.student99)

    the first half i tried to do it by parts but it looks wrong,

    the second half is my attempt at substitution
    By parts looks good, except you \sqrt{1-x} goes to -\frac{2}{3}(1-x)^{3/2}

    The latter integral can be done by substitution

    Spoiler:
    Show

    The very same substitution you could've done at the very start of the question.
 
 
 
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