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Juan Set 2 Paper 1 · Q17

Paper 1Calculus

Let ff and gg be differentiable functions defined on the set of real numbers satisfying

∫12f′(3x)dx=4,∫f(2x)dx=g(x)+C(C constant).\int_1^2f'(3x)\dd x=4,\qquad \int f(2x)\dd x=g(x)+C\quad(C\text{ constant}).

Given that f(3)=5f(3)=5, what is the value of g′(3)g'(3)?

A1
B5
C9
D13
E17

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