Question

Evaluate the line integral \[\int_c F\bullet dr\] where C is given by the vector function r(t)
\[F(x,y,z)=sinx\hat{i}+cosy\hat{j}+xz\hat{k}\]
\[r(t)=t^3\hat{i}-t^2\hat{j}+t\hat{k}\]

Answer 1

where do I start?

Answer 2

ummm line integral wait i have to recall

Answer 3

i ll do it tomorow for you

Answer 4

Do you see any "t" in F(x,y,z)?

Answer 5

no but \[\int_c F\bullet dr=\int_a^b F(r(t))\bullet r'(t) dt=\int_c F\bullet T ds\]
so I have to take the derivative of r i guess