What is the arc length of f ( x ) = ln &#x2061;<!-- ⁡ --> (

Jaime Coleman

Jaime Coleman

Answered question

2022-05-13

What is the arc length of f ( x ) = ln ( x ) x on x [ 3 , 5 ]?

Answer & Explanation

Finnegan Zimmerman

Finnegan Zimmerman

Beginner2022-05-14Added 16 answers

f ( x ) = 1 ln x x 2
So the arc length is given by:
3 5 1 + ( 1 ln x ) 2 x 4 d x
The length is a bit more than 2,

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