What is the arclength of f ( x ) = 1 <msqrt> ( x &#x2212;<!-

cyfwelestoi

cyfwelestoi

Answered question

2022-05-18

What is the arclength of f ( x ) = 1 ( x 1 ) ( 2 x + 2 ) on x [ 6 , 7 ]?

Answer & Explanation

coquinarq1

coquinarq1

Beginner2022-05-19Added 14 answers

Wrting your f(x) in the form
f ( x ) = 1 2 1 x 2 1
then f'(x) is given by
f ( x ) = 1 2 2 x ( x 2 1 ) 3 2
then our integralo is given by
1 2 6 7 4 + 2 x 2 ( x 2 1 ) 3 d x
A numerical method gives
1.000153728

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