(b) Compute (iæ + a/4)dx. (Hint: Split the above integral into two junk terms and two non-junk terms. For checking junk terms, the triangle inequality is your friend.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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This is related to contour integrals with junk terms.

(a) Let f(2) = sin(=)(+1): Let y be the rectangle in C, with width the
interval [-7/4, 7/4 and height the interval (-R, R] (see picture). You
may assume R> 1.
-114+Ri
n14-Ri
RI-4ח-
4-RI
Figure 1: The curve y
Compute f, f(2)dz.
(b) Compute S f(ix + 7/4)dx. (Hint: Split the above integral into
two junk terms and two non-junk terms. For checking junk terms,
the triangle inequality is your friend.
.....:
Transcribed Image Text:(a) Let f(2) = sin(=)(+1): Let y be the rectangle in C, with width the interval [-7/4, 7/4 and height the interval (-R, R] (see picture). You may assume R> 1. -114+Ri n14-Ri RI-4ח- 4-RI Figure 1: The curve y Compute f, f(2)dz. (b) Compute S f(ix + 7/4)dx. (Hint: Split the above integral into two junk terms and two non-junk terms. For checking junk terms, the triangle inequality is your friend. .....:
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