The diagram shows part of the curve y = 2 sin 3x. The normal to the curve

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The diagram shows part of the curve y = 2 sin 3x. The normal to the curve y = 2 sin 3x at the point where x = π/9 meets the y-axis at the point P.


a. Find the coordinates of P.

b. Find the area of the shaded region bounded by the curve, the normal and the y-axis.

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