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Mathematical Expression Editor

We practice computing arc length.

Find the arc length of the function on the given interval: on

Find the arc length of the function on the given interval: on . (You may use the fact
that .)

Set up the integral to compute the arc length of the function on the given interval:
on .

Let . Find the arc length for .

Sample Quiz Questions

Compute the arc length of the curve between the endpoints and . (Hints
won’t be revealed until after you choose a response.)

Applying the formula for arc length gives that

Note that you must always take the
positive square root in going from line two to line three. In particular, if you get a
negative answer, you have likely taken the negative square root.

Sample Exam Questions

(2017 Midterm 1) Compute the length of the curve between and .

none of the above

Find the arc length of the following curve between and : (Note: .)

none of the above

A certain curve in the plane has the property that its length between the endpoints
and is equal to for every value of . Assuming the curve passes through the points
and , what is ?