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Official 2017 Paper 1 · Q12

Paper 1CalculusFunctions & graphsAlgebra

The polynomial function f(x)f(x) is such that f(x)>0f(x)>0 for all values of xx.

Given ∫24f(x) dx=A\int_2^4f(x)\,\dd x=A, which one of the following statements must be correct?

A∫02[f(x+2)+1] dx=A+1\displaystyle\int_0^2[f(x+2)+1]\,\dd x=A+1
B∫02[f(x+2)+1] dx=A+2\displaystyle\int_0^2[f(x+2)+1]\,\dd x=A+2
C∫24[f(x+2)+1] dx=A+1\displaystyle\int_2^4[f(x+2)+1]\,\dd x=A+1
D∫24[f(x+2)+1] dx=A+2\displaystyle\int_2^4[f(x+2)+1]\,\dd x=A+2
E∫46[f(x+2)+1] dx=A+1\displaystyle\int_4^6[f(x+2)+1]\,\dd x=A+1
F∫46[f(x+2)+1] dx=A+2\displaystyle\int_4^6[f(x+2)+1]\,\dd x=A+2

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