Answer
$\Phi = 8~N~m^2/C$
Work Step by Step
We can find the flux:
$\Phi = \int E \cdot dA$
$\Phi = (4\hat{i}~N/C)\cdot (2\hat{i}+3\hat{j})~m^2$
$\Phi = (8~N~m^2/C)\hat{i}\cdot \hat{i}+ (12~N~m^2/C)~\hat{i}\cdot \hat{j}$
$\Phi = (8~N~m^2/C)+0$
$\Phi = 8~N~m^2/C$
