Question 1

Paper 1, no calculatorEasy5 marks

The derivative of a function ff is

f′(x)=6x+2,x∈R,f'(x)=6x+2,\qquad x\in\mathbb{R},

and f(0)=3f(0)=3

(a)

Determine f(x)f(x)

[4]
(b)

Hence write down a definite integral representing the area bounded by the graph y=f(x)y=f(x) the xx-axis, x=0x=0 and x=2x=2 Do not evaluate the integral.

[1]

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