Numerical Methods

Points: $x_0 = 0, x_1 = 1, x_2 = 2$. Function values $y = x^2$: $y_0 = 0^2 = 0$ $y_1 = 1^2 = 1$ $y_2 = 2^2 = 4$ Trapezoidal rule: $I = \frac{h}{2} [y_0 + 2y_1 + y_2] = \frac{1}{2} [0 + 2(1) + 4] = \frac{6}{2} = 3.0$