What is the arc length of f ( x ) = 6 x <mrow class="MJX-TeXAtom-ORD">

Matteo Brady

Matteo Brady

Answered question

2022-06-02

What is the arc length of f ( x ) = 6 x 3 2 + 1 on x [ 5 , 7 ]?

Answer & Explanation

Regelspur8xgdl

Regelspur8xgdl

Beginner2022-06-03Added 6 answers

f ( x ) = 6 x 3 2 + 1
f ( x ) = 9 x
Arc length is given by:
L = 5 7 1 + 81 x d x
Integrate directly:
L = 2 243 [ ( 1 + 81 x ) 3 2 ] 5 7
Hence
L = 4 243 ( 568 142 203 406 )

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