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`f,g, h ,` are continuous in `[0, a],f(a-x)=f(x),g(a-x)=-g(x),3h(x)-4h(a-x)=5.` Then prove that `int_0^af(x)g(x)h(x)dx=0`

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To prove that \[ \int_0^a f(x) g(x) h(x) \, dx = 0, \] we will use the properties of the functions \(f\), \(g\), and \(h\) given in the problem. ...
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Knowledge Check

  • If f(x)=x-1, g(x)=3x , and h(x)=5/x , then f^(-1)(g(h(5))) =

    A
    4
    B
    3
    C
    `5/6`
    D
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