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

Jerry Villegas

Jerry Villegas

Answered question

2022-05-24

What is the arclength of f ( x ) = e x 2 x in the interval [0, 15]?

Answer & Explanation

soymmernenx

soymmernenx

Beginner2022-05-25Added 10 answers

Given f ( x ) = e x 2 x
Find the Arc Length in the interval [0, 15]
Compute f'(x)
f ( x ) = ( 2 x 1 ) e x 2 x
( f ( x ) ) 2 = ( 4 x 2 4 x + 1 ) e 2 x 2 2 x
L = 0 15 1 + ( 4 x 2 4 x + 1 ) e 2 x 2 2 x d x 1.59 × 10 91

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