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The work performed against a drag force (1)

The position of a particle is given by,

\[ \begin{equation}\large x= 6t^2 \hspace{0.5cm}\text{[m]} \end{equation} \]
$x$
0.0
1.0
2.0
3.0
4.0
5.0
0
25
50
75
100
125
150
175

$t$

Here $t$ is the time in seconds. The particle moves through a viscous fluid and there is a drag force on the particle $F =-13|v|v$. How much work is required to move this particle between time $t=0$ seconds and $t=$ 5 seconds?

$W=$  [J]