What is the arclength of f ( x ) = 1 + x <mrow

rose2904ks

rose2904ks

Answered question

2022-06-16

What is the arclength of f ( x ) = 1 + x 2 x 1 on x [ 2 , 3 ]?

Answer & Explanation

seraphinod

seraphinod

Beginner2022-06-17Added 22 answers

We get by the Quotient rule
f ( x ) = 2 x ( x 1 ) ( 1 + x 2 ) ( x 1 ) 2
f ( x ) = x 2 2 x 1 ( x 1 ) 2
so our integral is given by
2 3 1 + ( x 2 2 x 1 ( x 1 ) 2 ) 2 d x
A numerical result is given by 1.07667

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