What is the arc length of f ( x ) = x <mrow class="MJX-TeXAtom-ORD"> 2

Davian Maynard

Davian Maynard

Answered question

2022-05-22

What is the arc length of f ( x ) = x 2 e 3 x 2 on x [ 2 , 3 ]?

Answer & Explanation

losing2mema

losing2mema

Beginner2022-05-23Added 7 answers

We have
f ( x ) = x 2 e 3 x 2
so
f ( x ) = 2 x e 3 x 2 + x 2 e 3 x 2 ( 2 x )
so
f ( x ) = e 3 x 2 ( 2 x 2 x 3 )
We have to integrate
2 3 1 + ( e 3 x 2 ( 2 x 2 x 3 ) ) 2 d x
With a numerical method we get
1.8995

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