Lets say we have this series:(adsbygoogle = window.adsbygoogle || []).push({});

a0+ a1(x-k)^1 +a2(x-k)^2 +a3(x-k)^3 = s(x)

If I integrate the series a theorem in the books says that I will get the antiderivate S(x)+C, but won't C allways be equal to zero?

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# Questions about integration of power series

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