Find F(f(x)) for f(x) = xe^-x if x > 0, f(x) = 0 if x < 0, by (9) and formula 5 in Table III (with α = 1). Consider xe^-xand e^-x. 

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f(w) = F(f) f(x) (1 if -b < x 0) + a' 2 if 0 0 (a > 0) V2Tla + iw) otherwise if b 0) V2a sin ax (a > 0) if w| < a; Oif |w| > a 10 х