What is the arclength of f ( x ) = ( x − 1 )...

Hailie Blevins

Hailie Blevins

Answered

2022-06-29

What is the arclength of f ( x ) = ( x 1 ) ( 2 x + 2 ) 2 x on x [ 6 , 7 ]?

Answer & Explanation

tennispopj8

tennispopj8

Expert

2022-06-30Added 20 answers

Explanation:
We have
f ( x ) = ( x 1 ) 2 ( x + 1 ) 2 x
f ( x ) = 2 x 2 1 2 x
So we get the integral
6 7 1 + ( 2 x x 2 1 2 ) 2 d x
With a numerical method we find
1.15037

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