meaning of "v*dx" assembly where v is a TestFunction

Question

Let's say I have

mesh = UnitIntervalMesh(1)
Q3 = FunctionSpace(mesh, 'CG', 3)
v = TestFunction(Q3)
R = assemble(v*dx)

Is R the vector such that $$R[i] = \int_{x_{i-1}}^{x_{i+1}}{\phi_i(x)dx}$$
where $\phi_i$ is the basis function at node i?

Answer 1

Yes, that is correct.
You can view the resulting vector (and confirm it yourself) with:

print R.array()