Question: 1.*3. Prove that fOI each ex > o. I [F(x + u) -F(x -u)] du = -j --t-2 -e ltx f(t)dt. Jo JT -00 ra

1.*3. Prove that fOI each ex > o.

I [F(x + u) -F(x -u)] du = -j --t-2 -e ltx f(t)dt. Jo JT -00 ra 1 rOO 1 cos at As a sort of reciprocal, we have l1 a l u 1 00 1 -cos ax -du f (t) dt = 2 dF(x). 2 0 -u -00 X

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