Question

Find the arc length of the curve $y = \frac{1}{8}(x^2 - 8 \ln(x))$ from $x = 2$ to $x = 5$. Length =

Name: find the arc length of the curve y frac18x2 8 lnx from x 2 to x 5 length 69073
Uploaded: 2023-09-12T10:43:28-08:00
Duration: 3 min 3 s
Channel: Adi S
Description: find the arc length of the curve y frac18x2 8 lnx from x 2 to x 5 length 69073

          Find the arc length of the curve $y = \frac{1}{8}(x^2 - 8 \ln(x))$ from $x = 2$ to $x = 5$.
Length =

$find the arc length of the curve y frac18x2 8 lnx from x 2 to x 5 length 69073$

Added by Stephanie P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/12/2023

Step 1

The formula for the arc length $L$ of a curve $y = f(x)$ from $x = a$ to $x = b$ is given by: $L = \int_{a}^{b} \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx$ First, we need to find $\frac{dy}{dx}$. Given $y = \frac{1}{8}(x^2 - 8 \ln(x))$. $\frac{dy}{dx} = Show more…

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