Consider a circulation distribution over a finite wing given by the equation below.
\[
\Gamma(y) = \begin{cases}
\Gamma_0 \left(1 - \frac{2y}{b}\right) & \text{if } 0 \leq y \leq \frac{b}{2}, \\
\Gamma_0 \left(1 + \frac{2y}{b}\right) & \text{if } -\frac{b}{2} \leq y \leq 0,
\end{cases}
\]
The wingspan \( b \) is 10 m, the maximum circulation \( \Gamma_0 \) is 20 m\(^2\)/s, density of air is 1.2 kg/m\(^3\), and the free stream speed is 80 m/s.
The lift over the wing is _________ N (rounded off to the nearest integer).