What is the arc length of f ( x ) = ( x <mrow class="MJX-TeXAtom-ORD">

Carolyn Beck

Carolyn Beck

Answered question

2022-06-22

What is the arc length of f ( x ) = ( x 3 + x ) 5 in the interval [2,3]?

Answer & Explanation

jarakapak7

jarakapak7

Beginner2022-06-23Added 14 answers

Explanation:
We Need the Formula
s = a b 1 + ( f ( x ) ) 2 d x
we have
f ( x ) = 5 ( x 3 + x ) 4 ( 3 x 2 + 1 )
so our integral is given by
2 3 1 + ( 5 ( x 3 + x ) 4 ( 3 x 2 + 1 ) ) 2 d x
this is 2.42 10 7

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