What is the arc length of f(x)=2x-1 on

Jaiden Bowman

Jaiden Bowman

Answered question

2022-05-13

What is the arc length of f(x)=2x-1 on x [ 0 , 3 ]?

Answer & Explanation

aitantiskbx2v

aitantiskbx2v

Beginner2022-05-14Added 16 answers

Arc length can be found using the integral;
L = a b 1 + f ( x ) 2 d x
You can find the derivation of this formula here . To start, we need to know the derivative, f'(x), which can be found using the power rule.
d d x ( 2 x 1 ) = 2
Now we can set up the integral.
L = 0 3 1 + 2 2 d x
= 0 3 5 d x
= 5 0 3 d x
= 5 [ x ] 0 3
= 3 5

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