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Let f ′ (x) = x sin 2 x 192 4 3 π + for all x ∈ R with f ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 = 0. If m ≤ ∫ 1 2 / 1 dx ) x ( f ≤ M, then the possible values of m and M are -

m = 13, M = 24
m = 4 1 , M = 2 1
m = –11, M = 0
m = 1, M = 12

Correct answer: m = 1, M = 12

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