What is the arclength of f ( x ) = x cos &#x2061;<!-- ⁡ --> ( x &#x2212;<!--

Alessandra Clarke

Alessandra Clarke

Answered question

2022-05-21

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

Answer & Explanation

Crevani9a

Crevani9a

Beginner2022-05-22Added 8 answers

Explanation:
the solution is
L = a b 1 + [ f ( x ) ] 2 d x
f ( x ) = cos ( x 2 ) x sin ( x 2 )
L = 1 2 1 + [ cos ( x 2 ) x sin ( x 2 ) ] 2 d x
L = 1 2 1 + cos 2 ( x 2 ) 2 x cos ( x 2 ) sin ( x 2 ) + x 2 sin 2 ( x 2 ) d x
then complete the steps manually

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