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tmua.me Medium Set A Paper 2 · Q17

Paper 2CalculusFunctions & graphs

The function FF is defined for all real xx by

F(x)=∫0x∣t3−4t∣ dt.F(x)=\int_0^x |t^3-4t|\,\mathrm{d}t.

What is the product of the xx-coordinates of all the stationary points of the graph

y=F(x+1)−F(x) ?y=F(x+1)-F(x)\,?
A−1-1
B−23-\dfrac23
C33
D32\dfrac32
E−32-\dfrac32
F−12-\dfrac12

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