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MioMath 2024 Paper 2 · Q7

Paper 2Calculus

Given that 0≤f(x)≤10\le f(x)\le1 for 0<x<40<x<4, and that:

∫02f(x)dx=1and∫13f(x)dx=1.5\int_0^2f(x)\dd x=1\quad\text{and}\quad\int_1^3f(x)\dd x=1.5

Which of the following are possible values for ∫04f(x)dx\displaystyle\int_0^4f(x)\dd x?

  • I: 2.4
  • II: 2.8
  • III: 3.2
AOnly I
BOnly II
COnly III
DI and II
EI and III
FII and III
GAll of them

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