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tmua.me Medium Set C Paper 1 · Q11

Paper 1CalculusFunctions & graphs

The function FF is defined by

F(x)=∫0x(t2−2t) dt,−1≤x≤4.F(x)=\int_0^x (t^2-2t)\,\mathrm{d}t, \qquad -1\leq x\leq4.

Which of the following describes the range of FF?

A−43≤F(x)≤0-\dfrac43\leq F(x)\leq0
B−43≤F(x)≤163-\dfrac43\leq F(x)\leq\dfrac{16}3
C0≤F(x)≤1630\leq F(x)\leq\dfrac{16}3
D−43≤F(x)≤4-\dfrac43\leq F(x)\leq4
E−163≤F(x)≤43-\dfrac{16}3\leq F(x)\leq\dfrac43

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