- #1
enwarnock
- 2
- 0
Homework Statement
Convert the integral from rectangular coordinates to spherical coordinates
2 √(4-x^2) 4
∫ ∫ ∫ x dz dy dx
-2 -√(4-x^2) x^2+y^2
Homework Equations
x=ρ sin∅ cosθ
y=ρ sin∅ cosθ
z=ρ cos∅
In case the above integrals cannot be understood:
-2 ≤ x ≤ 2
-√(4-x^2) ≤ y ≤ √(4-x^2)
x^2+y^2 ≤ z ≤ 4
The Attempt at a Solution
I figured that 0≤θ≤2∏ but and that the x converts to ρ sin∅ cosθ
and I know you have to multiply the original converted function (ρ sin∅ cosθ) to ρ^2 sin∅
but that's all i figured out
Last edited: