The diagram shows the curve sin y = x sin x, for 0 x < x <

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The diagram shows the curve sin y = x sin x, for 0 x < x < π. The point Q(1/2π, 1/2π) lies on the curve.

i. Show that the normal to the curve at Q passes through the point (π, 0).

ii. Find 

iii. Hence evaluate

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