6. More Applications of Integration

Arc Length — Quiz

Test your understanding of arc length with 5 practice questions.

Practice Questions

Question 1

What does arc length measure for a curve?

Question 2

For a curve given by $y=f(x)$ on $[a,b]$, which integral gives the arc length?

Question 3

Find the arc length of $y=3x$ from $x=0$ to $x=4$.

Question 4

Find the arc length of $y=x$ from $x=0$ to $x=3$.

Question 5

For a parametric curve $x=x(t)$ and $y=y(t)$, what expression gives the speed used in the arc length formula?