`y=ln(sinx) , [pi/4 , (3pi)/4]` Find the arc length of the graph of the function over the indicated interval.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The arc length of a function of x, f(x), over an interval is determined by the formula below:


So using the function given, let us first find `(dy)/(dx):`


We can now substitute this into our formula above:


Which can then be simplified to:

(The entire section contains 253 words.)

Unlock This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial
Approved by eNotes Editorial Team