I need some help on my hw. **Instruction for Students**To determine the arc length of a curve, follow these steps. Remember, you are only required to set up the integral, not compute it.**Problem Statement**Write down the integral that gives the arc length of the following curve over the specified interval. Do not evaluate the integral.Given function:\[ y = 8x^2 \]Interval: \[ 1 \leq x \leq 4 \]**Explanation**To find the arc length \( L \) of a curve described by the function \( y = f(x) \) over the interval \([a, b]\), use the following formula for arc length:\[ L = \int_{a}^{b} \sqrt{1 + \left( \frac{dy}{dx} \right)^2} \, dx \]1. Compute \( \frac{dy}{dx} \) for the given function \( y = 8x^2 \).2. Substitute \( \frac{dy}{dx} \) into the formula and set up the integral over the interval from 1 to 4.3. Simplify the integrand but do not perform the integration.This setup will provide the integral needed to compute the arc length of the curve, which you can solve further if needed.

Name: I need some help on my hw. **Instruction for Students**To determine th
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: I need some help on my hw. **Instruction for Students**To determine the arc length of a curve, follow these steps. Remember, you are only required to set up the integral, not compute it.**Problem Statement**Write down the integral that gives the arc