Mechanical Engineering > GATE 2016 SET-2 > Vector Calculus
A scalar potential φ has the following gradient: ∇φ = yz i + xz j + xy k. Consider the integral ∫C ∇φ.dr on the curve r = x i + y j + z k. The curve C is parameterized as follows: x=t, y=t2 and z=3t2 for 1 ≤ t ≤ 3. The value of the integral is ________.
Explanation
Correct : 726
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