Verifying Fourier series of antiderivative of a function
The function is .
The Fourier series of the function is:
Since the function can be integrated termwise, the Fourier series for the antiderivative is:
The antiderivative of the function is . The Fourier series of the antiderivative is:
Where I am missing? Why I am having wrong answer. Even if I did some mistakes in calculations, what's with x term obtained in piece wise integration. Thanks in advance.