Evaluate \(\mathop \int\!\!\!\int \limits_s \vec F.\hat nds\), where \(\vec F = 4xz\hat i - {y^2}\hat j + yz\hat k\) and S is the surface of cube with 0 ≤ x, y, z ≤ 1.
Enter numerical value using the virtual keypad. Round off where necessary.
Evaluate \(\mathop \int\!\!\!\int \limits_s \vec F.\hat nds\), where \(\vec F = 4xz\hat i - {y^2}\hat j + yz\hat k\) and S is the surface of cube with 0 ≤ x, y, z ≤ 1.
Enter numerical value using the virtual keypad. Round off where necessary.