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Prometheus83

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Posts posted by Prometheus83

  1. Hi,

    Wondering if someone could point me in the right direction for this question. It is an assignment question, so I don't want the answer, just some help and point in the right direction. Heres what I have so far:

     

    Find indefinite integral of: h(u) = sin^2 ( 1/6 u )

     

    Now I'm presuming I need to use the double angle formula

    cos(2x) = 1 - 2sin^2 x

     

    to which I have:

     

    sin^2 x = 1/2 (1 - cos (2x))

    sin^2 (1/6 u ) = 1/2 (1 - cos (2 (1/6 u))

     

    Therefore I get the answer

     

    integral sin^2(1/6u) = integral (1/2 - 1/2 cos (2 (1/6 u )))

     

    =1/2x - 3/2 sin (1/3 u ) + c

     

    Is that anywhere close?

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