6. Numerical Differentiation and Integration I

Simpson’s Rule — Quiz

Test your understanding of simpson’s rule with 5 practice questions.

Practice Questions

Question 1

For composite Simpson's rule on an interval $[a,b]$, what restriction must the number of subintervals $n$ satisfy?

Question 2

Which formula is the basic Simpson's $1/3$ rule on $[x_0,x_2]$ with midpoint $x_1$ and step size $h$?

Question 3

Using Simpson's rule with $n=2$ on $\int_0^2 x^2\,dx$, what value is obtained?

Question 4

Approximate $\int_0^2 f(x)\,dx$ using Simpson's rule with $h=1$ when $f(0)=1$, $f(1)=4$, and $f(2)=9$.

Question 5

Simpson's rule is exact for which class of functions?