Question

Use the fundamental theorem of line integrals to ascertain the value of the line integral ∫V 9(dot) dα, where C is the image of a smooth curve segment from p=(1,0,-2) to q=(4,6,3)

Answer 1

Can you try to rewrite your expression with the equation editor?

Answer 2

\[\int\limits_C \nabla 9 d \alpha \] ? where 9 is just a constant?

Answer 3

\[\int\limits_{}^{} V*d \alpha \]

Answer 4

Sorry there's no 9, I didn't mean to type that!

Answer 5

So it's \[\int\limits_C \nabla \cdot d \alpha \]

Answer 6

yes!

Answer 7

I believe there is something missing isn't it? because if f(x,y,z)=1 then it's gradient will be zero.