The graph of f(x) = x412 + 2; x > 2 is shown below. Consider the area bounded by the curve and the x axis, between x = 3 andx = 6_ a) Estimate the area shown above, using the Trapezium Rule with 3 subintervals. Give your answer as a simplied fraction, in the form 3. q The width of each subinterval is w = a) Estimate the area shown above, using the Trapezium Rule with 3 subintervals. Give your answer as a simplified fraction, in the form 3. q The width of each subinterval is w = Therefore, using the Trapezium Rule, the area is estimated to be: square units. [2 marks] b) Now calculate the area using a denite integral. Give your answer correct to 2 decimal places. Area: fab f(x) dx where a = , b = square units. (2 d.p.) [2 marks] c) In this case, the Trapezium Rule method has |:| the actual area. The difference in the two areas from parts a) and b), correct to 2 decimal places, is square units. [1 mark]