6. Numerical Differentiation and Integration I

Trapezoidal Rule — Quiz

Test your understanding of trapezoidal rule with 5 practice questions.

Practice Questions

Question 1

What is the main geometric idea behind the trapezoidal rule for approximating the area under a curve on $[a,b]$?

Question 2

Which formula is the single-interval trapezoidal rule for $ int_a^b f(x)\,dx$?

Question 3

If the composite trapezoidal rule is applied with $n$ subintervals, how many function values are used?

Question 4

If $f''(x)>0$ for all $x$ in $[a,b]$, what does the trapezoidal rule usually do?

Question 5

Use the trapezoidal rule with $n=2$ to approximate $ int_0^2 x^2\,dx$. What is the result?