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Math Help - integration by substitution

  1. #1
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    integration by substitution

    Using the substitution , or otherwise, find . Give your answer in terms of .

    Could someone explain the steps to solve this problem please? Im a wee bit confused! Cheers x
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Haris View Post
    Using the substitution , or otherwise, find . Give your answer in terms of .

    Could someone explain the steps to solve this problem please? Im a wee bit confused! Cheers x
    \int\cos^9(x)\sin(x)dx

    By making the substitution \varphi=\cos(x) this becomes

    -\int\varphi^9d\varphi
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