What is the arclength of f ( x ) = x sin ⁡ 3 x...

2d3vljtq

2d3vljtq

Answered

2022-07-06

What is the arclength of f ( x ) = x sin 3 x on x [ 3 , 4 ]?

Answer & Explanation

Kaya Kemp

Kaya Kemp

Expert

2022-07-07Added 18 answers

Given is
f ( x ) = x sin ( 3 x )
We Need the product and the chain rule:
f ( x ) = sin ( 3 x ) + 3 x cos ( 3 x ) so we have evaluate the following integral
3 4 1 + ( sin ( 3 x ) + 3 x cos ( 3 x ) ) 2 d x
a numerical method gives us
6.57

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