6. Integration and Accumulation of Change

Riemann Sums, Summation Notation, And Definite Integral Notation — Quiz

Test your understanding of riemann sums, summation notation, and definite integral notation with 5 practice questions.

Practice Questions

Question 1

What is a Riemann sum used to approximate?

Question 2

In the sum $\sum_{i=1}^{n} f(x_i)\Delta x$, what does $\Delta x$ represent?

Question 3

If an interval from $a$ to $b$ is divided into $n$ equal subintervals, what is the formula for the width of each subinterval?

Question 4

What does the definite integral $\int_a^b f(x)\,dx$ represent in basic geometric terms when $f(x)\ge 0$ on $[a,b]$?

Question 5

Which summation notation correctly represents the sum $3+6+9+12$?