1. Integrate f(2) = x²+ixy from (1, 1) to (2, 8) along the curve C: r =t, y = t³. c2+i 2. Evaluate (2r + iy + 1) dz along the straight line joining 1 – i and 2+ i. 3. Evaluate the line integral /. vertices 0,1+i, -1+i. 22 dz where C is the boundary of a triangle with
1. Integrate f(2) = x²+ixy from (1, 1) to (2, 8) along the curve C: r =t, y = t³. c2+i 2. Evaluate (2r + iy + 1) dz along the straight line joining 1 – i and 2+ i. 3. Evaluate the line integral /. vertices 0,1+i, -1+i. 22 dz where C is the boundary of a triangle with
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Integrate f(2) = x² +ixy from (1, 1) to (2, 8) along the curve C: r = t, y = t³.
2+i
2. Evaluate / (2r + iy +1) dz along the straight line joining 1 – i and 2+ i.
3. Evaluate the line integral / 22 dz where C is the boundary of a triangle with
vertices 0, 1 + i, –1+i.
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