- #1
jenzao
- 48
- 0
Homework Statement
This isn't exactly HW problem , but a "simple" worked problem that is supposed to illustrate exact differentials...
Consider a differential dZ =2xy⋅dx+x^2dy integrated
on two paths where Path I is x=y and Path II is x^2=y.
The integrations are from (x,y)=(0,0) to (x,y)=(1,1).
Then it works the problem, and says this:
delta Z sub-i = 2*integral from 1 to 0 xy*dx + integral from 1 to 0 x^2 dy
= 2 integral from 1 to 0 x^2dx + integral from 1 to 0 y^2dy = 1
Homework Equations
Why are they integrating twice, to arrive at x=1?
If this doesn't make any sense, I will upload the pdf file, I am have trouble writing out all the symbols using basic script.