Suppose that f is nonnegative and continuous on [1, 2] and that 21xkf(x)dx = 5 + k2

Question:

Suppose that f is nonnegative and continuous on [1, 2] and that ˆ«21xkf(x)dx = 5 + k2 for k = 0, 1, 2. Prove that each of the following statements is correct.
a)
Suppose that f is nonnegative and continuous on [1, 2]

(b)

Suppose that f is nonnegative and continuous on [1, 2]

c)

Suppose that f is nonnegative and continuous on [1, 2]
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