Integrating Fourier Series - Partial Differential Equations | Lecture 16

While differentiating Fourier series can pose problems, it turns out that integrating them is much better! In this lecture we show that we Fourier series can be integrated term-by-term to provide convergent infinite series representations of the anti-derivative of a function. However, the catch is that we do not always get a Fourier series. This means that there might be functions in the infinite sum that are not just sines and cosines. The theory is illustrated with an example throughout the lecture.

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