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GATE EE 2019 Set 1 — Question 28

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NAT+1 / -0MediumGradient, Divergence & CurlVector CalculusEngineering MathematicsLine, Surface & Volume Integrals

Engineering Mathematics → Vector Calculus → Gradient, Divergence & Curl

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Question

If f=2x3+3y2+4zf = 2x^3 + 3y^2 + 4z, the value of line integral ∫Cgradf⋅dr\int_C \text{grad} f \cdot dr evaluated over contour CC formed by the segments (−3,−3,2)→(2,−3,2)→(2,6,2)→(2,6,−1)(-3, -3, 2) \to (2, -3, 2) \to (2, 6, 2) \to (2, 6, -1) is ________.
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