Question: Derive formula 3 in Table I of Sec. 11.10 by integration. fe(w) = F.(f) f(x) (1 if 0 0) -Re (a + iw)+1 Real part

Derive formula 3 in Table I of Sec. 11.10 by integration.

fe(w) = F.(f) f(x) (1 if 0<x<<a 2 sin aw lo otherwise [2 Г(а) a-1 (0 <a < 1) (Г(а) see App. AЗ.1.) -Cos (a >0) w2 4

fe(w) = F.(f) f(x) (1 if 0 0) -Re (a + iw)+1 Real part sin a(1 + w)1 Scos x if 0 0) cos 4a sin ax (1 (w ) 10 (a > 0) (See Sec. 6.3.) sin X 11 arctan 12 Jolax) (a> 0) (1 - a(w - a)) (See Secs. 5.5, 6.3.) 2. 3.

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