Consider $f(x) = cos(x)$ and the points $x_0 = pi/2$, $x_1 = pi/4$

and $x_2=3pi/4$. Consider $f(x_i)$ with 5 decimal places. Find an

estimate for the error of integration when you use Simpson’s rule to

calculate the integral of f between $x_1$ and $x_2$.

I did

$$E(f) < |frac{b-a}{180}||frac{b-a}{N}|max_{(x_1,x_2)} |f^{(4)}| = 0.0023479$$

Is this correct?

Is the reason I am given 3 points that I need an even number of intervals to use Simpsons rule and is that why I set N = 2 and not 1?