The integral
| 1 | 𝜋(y2−y4) dy |
| 0 |
represents the volume of a solid. Describe the solid.
The solid obtained by rotating the region in the first quadrant
bounded by the curves x = y2 and x = y4 around the x axis
The solid obtained by rotating the region in the first quadrant
bounded by the curves x = y2 and x = y4 around the y axis
The solid obtained by rotating the region in the first quadrant
bounded by the curves x = y and x = y2 around the x axis
The solid obtained by rotating the region in the first quadrant
bounded by the curves x = y and x = y2 around the y axis
Answer
The solid obtained by rotating the region in the first
quadrant bounded by the curves x = y and x = y² around the y
axis.
Correct option is D
Use washer method b a V = [+(x,2 – xz2 )dy = } = (y2 + (x2)* )di =$+(y? - v“)dy 0 0