Answer
$\approx 22 J$
Work Step by Step
The work integral in moving the object can be written as:
$W=\int_c F \cdot T ds \approx \Sigma_{i=1}^{7} F(x_i,y_i) \cdot (x_i,y_i)]ds$
$W=(2+2+2+2+1+1+1) \cdot 2 \approx 22 J$
Hence, we need in moving the object $\approx 22 J$ of work done.
