0 to 3 9x2612 dx n6Solution Definition of trapezoidal rule A

Solution

Definition of trapezoidal rule: Area = 0.5(w)(f(a) + 2f(a+w) + 2f(a+2w) + 2f(a+3w) + ... + f(b)) where: w = (b-a)/n a = initial (starting) point b = final (ending) point w = (3-0)/6 w = 1/2 a = 0 b = 3 Area = 0.5(0.5)(f(0) + 2f(0.5) + 2f(1) + 2f(1.5) + 2f(2) + 2f(2.5) + f(3)] Area = 0.25(3 + 5.92 + 5.66 + 5.20 + 4.47 + 3.32 + 0) Area = 6.8925 to get a feel of what the answer should be, this represents the area of 1/4 of a circle with a radius of 3: Actual area = 0.25(pi)(9) Actual area = 7.07 BOL