BC:9.1 Evaluate the following integrals. If the re- sult is a constant, give a numerical value for it: a.) b.) L. (19 cos2 (100nt +15°) 10-sin² (50rt) L. ( cos2 (100πt +15°) 10-sin² (50rt) 8(t+2.4)dt 8(t - 2.4)dt c.) -|k| [~~ (± (7) . Σ 8 (w_2πTk) ejwt dw 8 5
BC:9.1 Evaluate the following integrals. If the re- sult is a constant, give a numerical value for it: a.) b.) L. (19 cos2 (100nt +15°) 10-sin² (50rt) L. ( cos2 (100πt +15°) 10-sin² (50rt) 8(t+2.4)dt 8(t - 2.4)dt c.) -|k| [~~ (± (7) . Σ 8 (w_2πTk) ejwt dw 8 5
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:BC:9.1 Evaluate the following integrals. If the re-
sult is a constant, give a numerical value for it:
a.)
b.)
e.)
cos2 (100πt +15°)
10 - sin² (50πt)
L. (²
cos2 (100nt +15°)
10-sin² (50πt)
L. (
sin(96)
sin (w/2)
c.)
-|k|
2πk
1 cdo ( 2 ( 7 ) th ( w - 274 ) ) dow
ejwt
Σ (3)
8
5
d.)
ㅠ
! س) 5
8(t + 2.4)dt
sin (9)
sin (2/2)
8(t - 2.4)dt
-8( + 0.75T) dŵ
8(+0.75 - 2πk) dŵ
mk)) da
ង
€
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Step 1: Analysis and Introduction
VIEWStep 2: Solve the integral a) using shifting property of the dirac delta function.
VIEWStep 3: Solve the integral b) using shifting property of the dirac delta function.
VIEWStep 4: Solve the integral c) using shifting property of the dirac delta function.
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