Consider the line integral I = \int _{{C}⁡ (x}^{2} + iy^{2}) dz, where z = x + iy. The line C is shown in figure below. The value of I is

GATE Electrical Engineering (EE) 2017 Shift 1 Solved Paper

Question : 38 of 65

Marks: +1, -0

Consider the line integral

I = ∫ ↙{{C}⁡ (x}↖{2} + iy^{2}) dz

, where z = x + iy. The line C is shown in figure below.

The value of I is

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