Question 4 Evaluate the line integral I 1 = | (31212 +2 cos (21) - 2ry) dz + (2x³y + 8y-1²) dy (a) along the curve y = z²-z from point A(0, 0) to point B(2, 2). (b) round the boundary of the quadrilateral joining the points A(1,0), (3, 1), (2, 3), and (0,3).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 4
Evaluate the line integral
1 = √(32²,².
+ 2 cos(2x) - 2xy) dr + (2x³y + 8y-²) dy
(a) along the curve y = z²-z from point A(0,0) to point B(2, 2).
(b) round the boundary of the quadrilateral joining the points A(1,0), (3, 1), (2, 3), and (0, 3).
Transcribed Image Text:Question 4 Evaluate the line integral 1 = √(32²,². + 2 cos(2x) - 2xy) dr + (2x³y + 8y-²) dy (a) along the curve y = z²-z from point A(0,0) to point B(2, 2). (b) round the boundary of the quadrilateral joining the points A(1,0), (3, 1), (2, 3), and (0, 3).
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