Question 1

Paper 1, no calculatorHard6 marks

Figure 1 shows the graph of ff on the interval shown.

0π/4π/23π/4π02468xf(x)f(x)=ex sin x, 0≤x≤πR
(a)

Determine an antiderivative of ff

[4]
(b)

Hence determine, in exact form, the area of the shaded region RR

[2]

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