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Now, can we do something else interesting with series? Let’s try integration. Let us look at
Integrating that gives us
The constant of integration has to be 0. We can find that by substituting x by 0.
Integrating again gives us
We get a constant of integration in the end, but that can easily be found to be 0.
The series for cos(x) can be found by differentiating the series for sin(x).

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