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Question

# In given problem, show that the given line integral is independent of path (use Theorem $\mathrm{C}$ ) and then evaluate the integral (either by choosing a convenient path or, if you prefer, by finding a potential function f and applying Theorem A).$\int_{(0,1,0)}^{(1,1,1)}(y z+1) d x+(x z+1) d y+(x y+1) d z$

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\begin{align*} \mathbf{F} &= \left\langle yz+1,xz+1,xy+1\right\rangle \end{align*}

Determine the vector $\mathbf{F}$ from the integrand.

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