Use Simpson’s Rule with five ordinates to find an approximate value for the integral e^(x^2)dx between the values of 0 and 1

Find the value of dx by dividing the difference between the integral boundaries by the number of ordinates minus 1. Therefore dx=(1-0)/4=1/4. Then define your ordinates, by 5 values between 0 and 1, where the difference between them is 1/4. The ordinates for this example will therefore be 0, 0.25, 0.5, 0.75 and 1. Then use simpson's equation: (dx/3)(f(x0)+4f(x1)+2f(x2)+4f(x3)+f(x4)) by substituting your ordinate values into the original equation e^(x^2). If you typed everything into your calculator correctly, you should yield the answer 1.4637.