The diagram shows the curves with equations y = √5x² +7 and y = 27/(2x+5) for x ≥ 0. The curves meet at the point (2, 3). Region A is bounded by the curve y = √5x² +7 and the straight lines x = 0, x = 2 and y = 0. Region B is bounded by the two curves and the straight line x = 0.

1. (a)Use the trapezium rule with two intervals to find an approximation to the area of region A. Give your answer correct to 3 significant figures.[3]
2. (b)Find the exact total area of regions A and B. Give your answer in the form klnm, where k and m are constants.[3]
3. (c)Deduce an approximation to the area of region B. Give your answer correct to 3 significant figures.[1]
4. (d)State, with a reason, whether your answer to part (c) is an over-estimate or an under-estimate of the area of region B.[2]

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