6. Integration and Accumulation of Change

Approximating Areas With Riemann Sums — Quiz

Test your understanding of approximating areas with riemann sums with 5 practice questions.

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Practice Questions

Question 1

What is a Riemann sum used to approximate?

Question 2

In a Riemann sum, what is the width of each subinterval when the interval $[a,b]$ is divided into $n$ equal parts?

Question 3

What does a right-endpoint Riemann sum use for the height of each rectangle?

Question 4

Which expression represents a left-endpoint Riemann sum for $f$ on $[a,b]$ with $n$ equal subintervals?

Question 5

If $f(x)$ is positive on an interval, what does $\int_a^b f(x)\,dx$ represent?