2. The experiment to energize the electromagnet by powering the coil with the D-cell battery is done and magnetic field sensor is used to measure the magnetic field (Milliteslas, mT). The results in Table 2 shows the values of magnetic field f(x) at different number of coils, x (for x=-1, decreasing the number of coils by 1, for x = 0, nothing change to the number of coils, and for x = 1, increasing the number of coils by 1). X -1 0 1 f(x) 5 1 1 Table 2: Magnetic field with decreasing and increasing number of coils Based on the table above, you have showed that the Lagrange Interpolation polynomial is f(x)=2x²-2x+1. a) Next, i. apply 3/8 Simpson's rule to estimate [f(x)dx, considering 5 subintervals. 3.6 compare the estimation with the exact solution of f(x)dx. ii. Give your answers accurate to 3 decimal places. 2.1