Question
Compute the Fourier series of f(x)=x+|x|,-π≤x≤π
Answers
Steve
well, you have to break f(x) into two parts
for x<0, f(x) = 0
for x >= 0, f(x) = 2x
so,
a0 = 1/π ∫[0,π] 2x dx = π
and for the others just use integration by parts for integrals of x cos(nx), etc.
for x<0, f(x) = 0
for x >= 0, f(x) = 2x
so,
a0 = 1/π ∫[0,π] 2x dx = π
and for the others just use integration by parts for integrals of x cos(nx), etc.
Chagala
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