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## Homework Statement

Evaluate the line integral,

[tex]\int_{C}x^{2}yzds, \text{ where C is the curve } z = x + y, \quad x + y + z = 1\text{ from }(1,\frac{-1}{2},\frac{1}{2}) \text{ to } (-3, \frac{7}{2}, \frac{1}{2})[/tex]

## Homework Equations

## The Attempt at a Solution

Here's my attempt at the problem,

It lists the correct answer as, [tex]\frac{37\sqrt{2}}{3}[/tex] solved with different parametric equations and bounds for t as well.

What am I doing wrong?