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Official 2021 Paper 1 · Q7

Paper 1CalculusFunctions & graphs

The function ff is such that f(0)=0f(0)=0, and xf(x)>0xf(x)>0 for all non-zero values of xx.

It is given that

∫−22f(x) dx=4\int_{-2}^2 f(x)\,\dd x=4

and

∫−22∣f(x)∣ dx=8\int_{-2}^2|f(x)|\,\dd x=8

Evaluate

∫−20f(∣x∣) dx\int_{-2}^0 f(|x|)\,\dd x
A−8-8
B−6-6
C−4-4
D−2-2
E22
F44
G66
H88

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