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Show that int0^a f(x) g(x) d x=2 int0^a ...

Show that `int_0^a f(x) g(x) d x=2 int_0^a f(x) d x`, if `f` and `g` are defined as `f(x)=f(a-x)` and `g(x)+g(a-x)=4`

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