Answer
$24$
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}= 3 j+4 k$
Now, $\int_0^{1}(12t^2 j+9t^2 k) (3 j+4 k)dt= \int_0^{1}(36t^2)+(36t^2) dt$
Thus,
$24[t^3]_0^{1}=24$
