n 37 Find the arc length for y = In(sinx) on 4 - 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 103E
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n 37
Find the arc length for y = In(sinx) on
4
-
4
Transcribed Image Text:n 37 Find the arc length for y = In(sinx) on 4 - 4
Expert Solution
Step 1

Arc length of a function is the actual length of the continuous function. It can be simplified using the mean value and definite integral problem.

Consider the equation:

Calculus homework question answer, step 1, image 1

Let the length of the arc be L. It is given by:

Calculus homework question answer, step 1, image 2

Step 2

Forming the equation and solving the above mentioned equation.

Calculus homework question answer, step 2, image 1

Calculus homework question answer, step 2, image 2

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