[理工] [工數] 傅立葉積分
(a) Find the Fourier integral of the given functuon as below:
-x
f(x) = e , x＞0
0 , x＜0
∞ cos(βx) + x sin(βx)
(b) Use the result of (a) to calculate ∫---------------------- dx
0 1 + x^2
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