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Beyond Horizon Set 1 Paper 1 · Q12

Paper 1Calculus

Suppose a<ba<b. The maximum value of the integral

∫ab(34−x−x2) dx\int_a^b\left(\frac34-x-x^2\right)\,dx

over all possible values of aa and bb is

A34\frac34
B43\frac43
C32\frac32
D23\frac23
E45\frac45
F54\frac54

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