The diagram shows parts of the curves intersecting at points P(0, 1) and Q(2, 3). The angle

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The diagram shows parts of the curves

intersecting at points P(0, 1) and Q(2, 3). The angle between the tangents to the curves at Q is α.

i. Find α, giving your answer in degrees correct to 3 significant figures.
ii. Find by integration the area of the shaded region.

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