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March 30, 2017

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integrate: (x^2 + 1)^k dx

  • math - ,

    There is a reduction formula for this. The number of terms in the answer depends upon the number k.
    The integral is
    {1/[2(2k+1)]}*[2x*(x^2+1)^k + 4k S (x^2+1)^(k-1) dx]
    Where S represents an integral sign.

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