Does anybody know in general how (if) one can perform the integral of a general polynomial to some, not necessarily integer, power? I.e.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int \left(\Sigma_{i=0} ^n c_i x^i \right)^a dx [/tex]

with [itex] c_i [/itex] and [itex] a [/itex]arbitrary (real) numbers,

[tex]\int \left(1+x + x^2 + 2x^5 \right)^{1.7} dx [/tex].

Maybe what I'm looking for is some generalization of Newton's binomium?

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# Integral of polynomial to some power

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