f,g,h are continuous in [0,1],f(a-x)=f(x...

`f,g,h` are continuous in `[0,1],f(a-x)=f(x),g(a-x)=-g(x),3h(x)-4h(a-x)=5`. Then prove that `int_(0)^(a)f(x)g(x)h(x)dx=0`.

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