Question: 3. Let U = C {a,., ax} . Let f:U C be holomorphic. Suppose Res(f, a;) = 0 for all a, E {a,

3. Let U = C \ {a,., ax} . Let f:U C be holomorphic. Suppose Res(f, a;) = 0 for all a, E {a, .,ar}. Prove that there is a holomorphic function F:U C such that F' = f.
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