1. Find $int_C x , ds$ where $C$ is the curve $y = x^2$ from $(0, 0)$ to $(1, 1)$.
Added by Julian B.
Close
Step 1
Then, y = t^2 and t ranges from 0 to 1. Therefore, the parametrization r(t) for this curve is t i + t^2 j. Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 64 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
$41-44$ Find the exact length of the curve. $$x=1+3 t^{2}, \quad y=4+2 t^{3}, \quad 0 \leqslant t \leqslant 1$$
Parametric Equations and Polar Coordinates
Calculus with Parametric Curves
Consider the curve r = [(e^(-3t))cos(6t), (e^(-3t))sin(6t), (e^(-3t))]. Compute the arc length function s(t) with the initial point at t = 0.
Madhur L.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD