P (0,3), Q (0.5, 4), and R (1, 5) are three points on the curve defined by $\style{font-family:'Times New Roman'}{f(x)}$. Numerical integration is carried out using both Trapezoidal rule and Simpson's rule within limits x=0 and x=1 for the curve. The difference between the two results will be
The integral $\int\limits_1^3\frac1xdx$ when evaluated by using Simpson’s 1/3 rule on two equal subintervals each of length 1, equals
Torque exerted on a flywheel over a cycle is listed in the table. Flywheel energy (in J per unit cycle) using Simpson’s rule is