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(a) z(t) = (2 +3i)(1 – t) + (4 + 7i)t, 0 st<1, (b) obtained by writing the equation of the line segment in the form y = mx +c. What do you notice about the two answers? Could you have evaluated this integral by using anti-differentiation?

(a) z(t) = (2 +3i)(1 – t) + (4 + 7i)t, 0 st<1, (b) obtained by writing the equation of the line segment in the form y = mx +c. What do you notice about the two answers? Could you have evaluated this integral by using anti-differentiation?

Advanced Engineering Mathematics
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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Evaluate ſ Im(2) dz over the line segment that joints the point 2+ 3i to 4+7i by using the parametrizations (a) z(t) = (2+3i)(1 – t) + (4 + 7i)t, 0<t<1, (b) obtained by writing the equation of the line segment in the form y = mx +c. What do you notice about the two answers? Could you have evaluated this integral by using anti-differentiation?
Transcribed Image Text:Evaluate ſ Im(2) dz over the line segment that joints the point 2+ 3i to 4+7i by using the parametrizations (a) z(t) = (2+3i)(1 – t) + (4 + 7i)t, 0<t<1, (b) obtained by writing the equation of the line segment in the form y = mx +c. What do you notice about the two answers? Could you have evaluated this integral by using anti-differentiation?
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