What is the arclength of f ( x ) = 1 <msqrt> ( x + 1

Finley Mckinney

Finley Mckinney

Answered question

2022-06-05

What is the arclength of f ( x ) = 1 ( x + 1 ) ( 2 x 2 ) on x [ 3 , 4 ]?

Answer & Explanation

pyphekam

pyphekam

Beginner2022-06-06Added 27 answers

Wrting f(x) in the following form
f ( x ) = ( 2 ( x + 1 ) ( x 1 ) ) 1 2
so
f ( x ) = 2 x 2 ( x 2 1 ) 3
and we have
3 4 1 + ( 2 x 2 ( x 2 1 ) 3 ) d x
With a numerical method we get
1.00235

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