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## Homework Statement

The path integral from (0,0,0) to (1,1,1) of $$<x^2,2yz,y^2>$$.

I am a little confused about the setup.

## Homework Equations

$$\int_{a}^{b} v.dl$$

## The Attempt at a Solution

Here is how I set it up.

$$\int_{0}^{1}x^2 dx + \int_{0}^{1}2yz dy + \int_{0}^{1}y^2 dz$$

Since the initial values of all of them are 0 can I not substitute y=0 and z=0?

So the equation looks like:

$$\int_{0}^{1}x^2 dx + \int_{0}^{1}2y(0) dy + \int_{0}^{1}(0)^2 dz$$

$$=1/3 + 0 + 0$$

I know this is wrong but where am I making the error? Thank you so much.