Question

7. Find the area of the surface obtained by rotating the curve $y = x^3$ on the interval $[0, 1]$ about the $x$-axis.

Name: 7. Find the area of the surface obtained by rotating the curve y = x^3 on the interval [0, 1] about the x-axis.
Uploaded: 2023-10-09T04:48:43-08:00
Duration: 3 min 37 s
Channel: Keondre Parker
Description: 7. Find the area of the surface obtained by rotating the curve y = x^3 on the interval [0, 1] about the x-axis.

          7. Find the area of the surface obtained by rotating the curve $y = x^3$ on the interval $[0, 1]$ about the $x$-axis.

Added by Dana P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Keondre Parker

10/09/2023

Step 1

Step 1: We need to use the formula for finding the surface area of a curve rotated about the x-axis, which is given by: \[ A = 2\pi \int_{a}^{b} y \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx \] where $y = x^3$ and the interval is [0,1]. Show more…

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Find the area of the surface ob ** ained by rotating the curve y=x^(3) on the interval 0,1 about the x-axis. 7. Find the area of the surface obtained by rotating the curve y-x3 on the interval [0,1] about thex-axis.