- #1
Sebs0r
- 4
- 0
Homework Statement
Find the volume of the solid bounded by z = 0 and z = 2xy, lying in the first quadrant and bounded by the curves y = x^2 and x+y = 2
Homework Equations
The Attempt at a Solution
I have an answer, but just asking if I've done it correctly, since we arent given the solution:
Intersection of x^2 and 2-x -> x = 1 or x = -2
Limits
x^2 <= y <= 2-x
0 <= x <= 1
0 <= z <= 2xy
[tex] Volume = \int ^{1}_{0}\int^{2-x}_{x^2} (2xy - 0) dy dx [/tex]
[tex] = \int ^{1}_{0} 4x - 4x^2 dx [/tex]
[tex] = 2/3 [/tex]
Last edited by a moderator: