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Let f be an odd function with antiderivative F. Prove that F is an even function. Note we do not assume that f is continuous or even integrable.?
Greelious
An antiderivative, F, is normally defined as the indefinite integral of a function f. F is differentiable and its derivative is f.
If you do not assume that f is continuous or even integrable, then your definition of antiderivative is required.
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