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Juan Set 1 Paper 1 · Q18

Paper 1CalculusFunctions & graphs

Let ff be a function defined and continuous on the set of real numbers, and let gg be defined by g(x)=2x+2g(x)=2x+2. It is given that

∫−11f(g(x))dx=18,∫24g(f(x))dx=18.\int_{-1}^{1}f(g(x))\dd x=18,\qquad \int_2^4g(f(x))\dd x=18.

What is the value of the integral ∫02f(x)dx\displaystyle\int_0^2f(x)\dd x?

A20
B23
C26
D29
E32

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