6. (a) Suppose that 9 is integrable and nonnegative on [1,3] with I13 g(x) dx = 1....

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6.

(a) Suppose that 9 is integrable and nonnegative on [1,3] with I13 g(x) dx = 1.

Prove that 1 /,9 - g( ..jX) dx < 2.

7r 1

(b) Suppose that h is integrable and nonnegative on [1,11] with I111 h(x) dx = 3.

Prove that

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