Why does Wolfram Alpha give me the Taylor series for $\int \sin^2{x} \, dx$ in Big-O Notation?

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When I ask Wolfram Alpha to compute the integral of $\sin^2{x}$ with respect to $x$, one of the results it gives me is a Taylor series, but it includes a $O(x^8)$ term. What does it mean?

Taylor Series about $x=0$:

$$\frac{x^3}{3} - \frac{x^5}{15} + \frac{2x^7}{315} + O(x^8)$$

http://www.wolframalpha.com/input/?i=integral+of+sin%5E2(x)