Hi,
I was working on a math project, and came across an integral that I'm having some difficulty rewriting.
The intervals that we begin with are as follows:
x is on the interval from 0 to 1
y is on the interval from 0 to 1-x, where 0 is the lower limit, and 1-x is the upper limit
z is on the interval from 0 to 1-x.^2,where 0 is the lower limit, and 1-x.^2 is the upper limit
I've been asked to rewrite this integral in all six orders (in all arrangements of dx dy dz)
I've come up with 4 orders, but need help, or at least a way to get started writing the last two, those being:
the triple integral of f(x,y,z) dx dy dz and the triple integral of f(x,y,z) dx dz dy
I'm having trouble seeing what the upper and lower limits are in those two cases.
Any help or insight would be appreciated.
I was working on a math project, and came across an integral that I'm having some difficulty rewriting.
The intervals that we begin with are as follows:
x is on the interval from 0 to 1
y is on the interval from 0 to 1-x, where 0 is the lower limit, and 1-x is the upper limit
z is on the interval from 0 to 1-x.^2,where 0 is the lower limit, and 1-x.^2 is the upper limit
I've been asked to rewrite this integral in all six orders (in all arrangements of dx dy dz)
I've come up with 4 orders, but need help, or at least a way to get started writing the last two, those being:
the triple integral of f(x,y,z) dx dy dz and the triple integral of f(x,y,z) dx dz dy
I'm having trouble seeing what the upper and lower limits are in those two cases.
Any help or insight would be appreciated.