Answer
$0$
Work Step by Step
Formula to calculate the flow is given by: $\int_C F(r(t)) \dfrac{dr}{dt}(dt)$
Here, $ \dfrac{dr}{dt}=2 \sin t i+2 \cos t j+2k$
Now, $\int_0^{2 \pi}(-2 \sin t i -2 \cos t j+2k) (2 \sin t i+2 \cos t j+2k)=[-4+4 ]_0^{2 \pi}$
Thus, $=0$
