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

Gybrisysmemiau7

Gybrisysmemiau7

Answered question

2022-06-09

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

Answer & Explanation

nuvolor8

nuvolor8

Beginner2022-06-10Added 32 answers

The arc length of f on x [ a , b ] is given by
L = a b 1 + ( f ( x ) ) 2 d x
Here, f ( x ) = x x e x so f ( x ) = 1 e x x e x . Then,
L = 2 4 1 + ( 1 e x x e x ) 2 d x 201.361

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