Confused about differentation and integration of power series.

Question

in ii), I'm unsure why the term next to $c_0$ is $x-a$. When you find the antiderivative of a constant, say $c_0$, isn't it just $cx$? Where did the a come from?

Answer 1

Differentiate $c_0(x-a)$ and check if it gives $c_0$.