Biomedical Engineering > GATE 2026 > Vector Calculus
Let f be a function of two real variables x and y, defined as:
f(x,y) = x2 + y2
The value of the line integral ∫∇f · dl from point P to point Q along the path L shown in the figure below is ______
Here ∇ = x̂ ∂/∂x + ŷ ∂/∂y, with x̂ and ŷ as the unit vectors along X and Y axes, respectively. Path L: Quarter of a unit circle, Point P=(1,0), Point Q=(0,1)
f(x,y) = x2 + y2
The value of the line integral ∫∇f · dl from point P to point Q along the path L shown in the figure below is ______
Here ∇ = x̂ ∂/∂x + ŷ ∂/∂y, with x̂ and ŷ as the unit vectors along X and Y axes, respectively. Path L: Quarter of a unit circle, Point P=(1,0), Point Q=(0,1)
Correct : a
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