Let ax and ay be unit vectors along x and y directions, respectively. A vector function is given by

F = ax y - ay x

The line integral of above function

\(\mathop \smallint \nolimits_C F \cdot dl\)

Along the curve C, which follows the parabola y = x2 as shown below is ______ (rounded off to 2 decimal places)

Enter numerical value using the virtual keypad. Round off where necessary.

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