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Math Help - integration by substitution

  1. #1
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    integration by substitution

    Hi,

    Is is possible to integrate (sin 2x)^10dx by substitution?

    Thanks
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  2. #2
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    Quote Originally Posted by sad_student View Post
    Hi,

    Is is possible to integrate (sin 2x)^10dx by substitution?

    Thanks
    Yes, but you have to start by recognising that \sin^{10} (2x) = [\sin^2 (2x)]^5 = \left[ \frac{1 - \cos (4x)}{2}\right]^5 and then expand.
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