Find the exact arc length of the curve. y = (x^6 + 8) / (16x^2), from x = 1 to x = 2. Give the exact answer in the form of fraction. The arc length =
Added by Brenda R.
Close
Step 1
Given y = x^6 + 8/(16x^2), we find dy/dx by taking the derivative of x^6 and 8/(16x^2) separately. dy/dx = d/dx(x^6) + d/dx(8/(16x^2)) dy/dx = 6x^5 - 8/(8x^3) dy/dx = 6x^5 - 1/x^3 Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 60 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the exact arc length of the curve: y = (x^6 + 8) / (16x^2), from x = 1 to x = 2. Give the exact answer in the form of fraction. The arc length =
Adi S.
Find the exact arc length of the curve over the interval. y = x2/3 from x = 1 to x = 8.
Sarvesh S.
Find the exact arc length of the curve over the interval. $$ x=\frac{1}{8} y^{4}+\frac{1}{4} y^{-2} \text { from } y=1 \text { to } y=4 $$
APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY, SCIENCE, AND ENGINEERING
Length of a Plane Curve
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD