What is the arc length of f ( x ) = <msqrt> 4 &#x2212;<!-- − --> x

Emmy Dillon

Emmy Dillon

Answered question

2022-06-19

What is the arc length of f ( x ) = 4 x 2 on x [ 2 , 2 ]?

Answer & Explanation

Nia Molina

Nia Molina

Beginner2022-06-20Added 21 answers

d y d x = x 4 x 2
( d y d x ) 2 = x 2 4 x 2
arc length = 1 + x 2 4 x 2 d x = 2 1 4 x 2 d x
= arcsin ( x 2 ) + C
Finally, evaluate over [-2,2]
arc length = 2 π

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