EC > GATE 2025 > Calculus
Consider a non-negative function f(x) which is continuous and bounded over the interval [2, 8]. Let M and m denote, respectively, the maximum and the minimum values of f(x) over the interval.
Among the combinations of α and β given below, choose the one(s) for which the inequality β ≤ ∫28 f(x)dx ≤ α is guaranteed to hold.
A
β=5m, α=7M
B
β=6m, α=5M
C
β=7m, α=6M
D
β=7m, α=5M

Correct : b

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