each Find the integral of F from (0,0,0) to (1,1,1) over the following paths, where F...

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each Find the integral of F from (0,0,0) to (1,1,1) over the following paths, where F = (y + ²)² + ( ² + x) ↑ + (x+y)k, of (a) The straight line path C₁: r(t) =tî+ tĵ+tk, ost≤) (b) The cwered path C₂: rlt) = tî + t²j+t¹k, 2 0≤t≤1. 2 A (0,0,0) C2 (ارا را ) Y (c) The path C3 U C₁ considering of the line segment from (0,0,0) to (1,1,0) followed by the segment from (1,1,0) to (1,1,1). 10,00 X N とろ C4 いいいい (リリ) Y each Find the integral of F from (0,0,0) to (1,1,1) over the following paths, where F = (y + ²)² + ( ² + x) ↑ + (x+y)k, of (a) The straight line path C₁: r(t) =tî+ tĵ+tk, ost≤) (b) The cwered path C₂: rlt) = tî + t²j+t¹k, 2 0≤t≤1. 2 A (0,0,0) C2 (ارا را ) Y (c) The path C3 U C₁ considering of the line segment from (0,0,0) to (1,1,0) followed by the segment from (1,1,0) to (1,1,1). 10,00 X N とろ C4 いいいい (リリ) Y

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