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INTEGRATION | TRAPEZIUM RULE KCSE 2011| PP1 NO.21
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(a) Using the trapezium rule with seven ordinates, estimate the area of the region
bounded by the curve y = -x²+ 6x+ 1, the lines x = 0, y = 0 andx = 6. (5 marks)
(b) Calculate:
(i) The area of the region in (a) above by integration; (3 marks)
(iii) The percentage error of the estimated area to the actual area of the region,
correct to two decimal places. (2marks)
bounded by the curve y = -x²+ 6x+ 1, the lines x = 0, y = 0 andx = 6. (5 marks)
(b) Calculate:
(i) The area of the region in (a) above by integration; (3 marks)
(iii) The percentage error of the estimated area to the actual area of the region,
correct to two decimal places. (2marks)
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