Show that the periodic function has a Fourier series expansion By term-by-term integration of this series, show

Question:

Show that the periodic function

f(t) = t (-T

has a Fourier series expansion

27 t f(t)= sin- -sin- +sin- T T - sin 4t T + 2t T 3t T

By term-by-term integration of this series, show that the periodic function

g(t)=1 (-T

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