Question: 7. Let f and g be continuous increasing functions on [0, 1]. Prove that [5] f(x)dx 8 ( x ) dxs f(x)g(x)dx. [Hint: Use mean

7. Let f and g be continuous increasing functions on [0,

1]. Prove that [5] f(x)dx 8 ( x ) dxs f(x)g(x)dx. [Hint:

7. Let f and g be continuous increasing functions on [0, 1]. Prove that [5] f(x)dx 8 ( x ) dxs f(x)g(x)dx. [Hint: Use mean value theorem for definite integral.]

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