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Math Help - I have no idea how to find this reduction formula

  1. #1
    s3a
    s3a is offline
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    I have no idea how to find this reduction formula

    The integral is in the attached file (as #35) and the book wants me to prove that that equality is correct. First of all, is "a" a constant or a variable? Furthermore, I assume that n is a constant as well.

    What am I doing wrong? (My work is attached along with the question)

    Any help would be greatly appreciated!
    Thanks in advance!
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    Quote Originally Posted by s3a View Post
    The integral is in the attached file (as #35) and the book wants me to prove that that equality is correct. First of all, is "a" a constant or a variable? Furthermore, I assume that n is a constant as well.

    What am I doing wrong? (My work is attached along with the question)

    Any help would be greatly appreciated!
    Thanks in advance!
    Try (x^2+a^2)^n=(x^2+a^2)](x^2+a^2)^{n-1}

    =x^2(x^2+a^2)^{n-1}+a^2(x^2+a^2)^{n-1}

    Then use integration by parts.
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