Let E^{\to}(x,y,z) = 2x^{2}i^{\^} + 5yj^{\^} + 3zk^{\^} The value of ∭ V (∇^{\to}.E^{\to})dV, where V is the volume enclosed by the unit cube defined by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and 0 ≤ z ≤ 1 is

GATE Electrical Engineering (EE) 2022 Solved Paper

Question : 62 of 65

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Let

E↖{→}(x,y,z) = 2x^{2}i↖{\^} + 5yj↖{\^} + 3zk↖{\^}

The value of ∭_V

(∇↖{→}.E↖{→})dV

, where V is the volume enclosed by the unit cube defined by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and 0 ≤ z ≤ 1 is

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