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Even–odd on symmetric interval (Even: 2∫_0^a f; Odd: 0 on [−a,a].)

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Even: 2∫_0^a f; Odd: 0 on [−a,a].

What each symbol means

SymbolWhat it stands for
fIntegrable on [-a,a]

When to use this

f(−x)=f(x) even; f(−x)=−f(x) odd.