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Thread: Proving the reduction formula, in need of help

  1. #1
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    Proving the reduction formula, in need of help

    Hello there people.

    I have confronted a problem that I don't know how to do.

    It is has follows:

    Prove the reduction formula

    It would really helpful if someone were to help me understand this and show me how to prove it.

    Thank you in advance to whoever that can
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  2. #2
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    Re: Proving the reduction formula, in need of help

    Differentiate?
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  3. #3
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    Re: Proving the reduction formula, in need of help

    Well it's proving that the left side actually equals to the right side.
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  4. #4
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    Re: Proving the reduction formula, in need of help

    You have to integrate by parts. x^n e^{-x^2} = x^{n-1}xe^{-x^2}. dv = xe^{-x^2}dx, u=x^{n-1}.
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