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What is the arc length of $f (x) = x^{2} - 3 x + \sqrt{x}$ $f(x)=x^2-3x+sqrtx$ on $x \in [1, 4]$ $x in [1,4]$ ?

1 Answer

Jan 26, 2018

About 8.111.

Explanation:

$int_a^b sqrt(1+(f'(x))^2) dx = int_1^4 sqrt(1+(2x-3+1/(2sqrtx))^2)$

$~~ 8.111$

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