Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Multivariable & Vectormedium
0:00.0

Let f(x,y,z)=x2+sin⁡(yz)f(x, y, z) = x^2 + \sin(yz)f(x,y,z)=x2+sin(yz). Consider the gradient vector field F=∇f\mathbf{F} = \nabla fF=∇f. What is the value of the line integral ∫CF⋅dr\int_C \mathbf{F} \cdot d\mathbf{r}∫C​F⋅dr, where CCC is any smooth path from the point (1,0,0)(1, 0, 0)(1,0,0) to the point (0,1,π)(0, 1, \pi)(0,1,π)?