SCalc$916\mathrm{.}2\mathrm{.}011.$EP$.$

Consider the following line integral, where C is the given space curve.

$$C

xeyz ds$,$

$$ C is the line segment from $(0,0,0)$ to

$(2,3,4)$

Use t as the parameter to write parametric equations for C where

$0$ t $1$

starting at the point

$(0,0,0).$

x$=$

y$=$

z$=$

Use t as a parameter of C to write an equivalent integral in only the variable t$.$

$$

$$C

xeyz ds $=$

$10$

$$dt

Evaluate the line integral.