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Rosie's Papers Set A Paper 1 · Q10

Paper 1CalculusFunctions & graphsAlgebra

A function f(x)f(x) is defined by f(x)=x2−4xf(x)=x^2-4x. A real constant cc with 0<c<40<c<4 satisfies the equation

∫0cf(x) dx=∫c4f(x) dx.\int_0^c f(x)\,dx=\int_c^4 f(x)\,dx.

Hence find the value of

∫02f(x+c) dx.\int_0^2 f(x+c)\,dx.
A−223-\frac{22}{3}
B−163-\frac{16}{3}
C−83-\frac83
D00
E163\frac{16}{3}
F−323-\frac{32}{3}

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