TMUA Practice Question — Worked Solution

P2·Integration·6.5Mock 0 · P2 · Q6

bounding integralsnon-decreasing functionwitnesspiecewise functioncould be

The function

f

is continuous for

0 \leq x \leq 2

and never decreases:

f (p) \leq f (q)

whenever

0 \leq p \leq q \leq 2

. It is also known that

\int_{0}^{1} f (x) d x = 1 and f (2) = 3.

\int_{0}^{2} f (x) d x = 4

\int_{0}^{2} f (x) d x = \frac{3}{2}

III

\int_{0}^{2} f (x) d x = \frac{5}{2}

Which of these values could

\int_{0}^{2} f (x) d x

take?

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