7.b.3 - 2014 Q1
Figure 1 shows a sketch of part of the curve with equation y = √(x2 + 1), x ≥ 0
The finite region R, shown shaded in Figure 1, is bounded by the curve, the x-axis and the lines x = 1 and x = 2
The table below shows corresponding values for x and y for y = √(x2 + 1), x ≥ 0
The finite region R, shown shaded in Figure 1, is bounded by the curve, the x-axis and the lines x = 1 and x = 2
The table below shows corresponding values for x and y for y = √(x2 + 1), x ≥ 0
(a) Complete the table above, giving the missing value of y to 3 decimal places. (1)
(b) Use the trapezium rule, with all the values of y in the completed table, to find an approximate value for the area of R, giving your answer to 2 decimal places. (4)
(b) Use the trapezium rule, with all the values of y in the completed table, to find an approximate value for the area of R, giving your answer to 2 decimal places. (4)