# Can anyone prove the following theorem?

1. Nov 10, 2005

### RSGuy

Can anyone prove the following theorem?
$$\int_{0}^{z} \frac{dy}{dx} dz = \int_{0}^{y} \frac{dz}{dx} dy$$

Last edited: Nov 10, 2005
2. Nov 10, 2005

### mathman

What is the relationship between y and z and how are they dependent on x?

3. Nov 10, 2005

### Tide

HINT: $dz = \frac {dz}{dy} dy$