17524 transformaty2 (2)

330 Integral Eouamons and thetr Applic ations

Tablc B.2: (Conlinued)

	F(s)	no
53.	a -JL A	e-l/« _ g-c/fe
	(l+osKl+As)’	a — b
54.	1	1 A, • —e "'sin co/ co
	s^2 + 2 bs + (b^2 + io^2)
55.	s	be^hl — ae“'
	(s-a)(s-b)_	b — a
56.	1	sin at — at cos at
	(i^2 +a^2)^2	2 a*
57.	s	1 sin at
	(s^2 +a^2)^2	la
58.	s^2	sin at Ą-at cos at
	(i^2 +a^2)^2	la
59.	s^3	at . cos at — — sin at 2
	{.i^2 + a^2 )^2
60.	s^2-a^2	t cos at
	(s^2 + a^2)^2
61.	1	o/cosli o/ — silili at
	(*^2 ~ ^fl2)^2_	2 a^3
62.	s	t sinh at
	(s^2 — a^2)^2	2 a
63.	s^2	sinh at + at cosli at
	(s^2 — a^2)^2	2 a
64.	S^3	. ^Qt t cosli at 4- — sinh at
	(s^2 - a^2 )^2
65.	s^2 + o^2	tcosh at
	(s^2 + o^2)^2
66.	1	(3 — a^2/^2) sin a/ — 3at cos at
	(s^2 + o^2)^3	8 a^5
67.	s	/sino/ - at^2 cos at
	(s^2+a^2)^2	8 a^3
68.	s^2	(1 + o^2/^2)sino/ - a/coso/
	(i^2 + a^2 )^3	8o^3
69.	J^3	3/sin o/+ o/^2 cos a/
	(s^2 + o^2)^3	8a
70.	A'^4	(3 — o^2/^2) sin at + 5at cos at
	(s^2 + a^2)^3	8 a

Table B.2: (Continued)

	F(s)	/(O
71.	s^5	(8 — a^2/^2) cos a/ — lat sin at
	(s^2 + a^2)^3	8
72.	3 s^2 — a^2	r^2 sin at
	(s^2 + fl^2)^3	2a
73.	i^3 — 3 a^2s	1 , -r cos ar 2
	(s^2 + a^2)^3
74.	s^3 — a^2s (.v^2 + a^2)^4	/^3 sin at 24 a
75.	1	(3 + a^2r^2) sinh ar — 3at cosh ar
	(.v^2 — a^2)^3	8a^5
76.	s	ar^2 cosh ar — r sinh ar
	(s^2 — fl^2)^3	8a^3
77.	S^2	ar cosh at + (a^2r^2 — 1) sinh at
	(,v^2 — a^2 )^3	8 a^3
78.	J^3	3r sinh at + ar^2 cosh ar
	(i^2 — fl^2)^3	8a
79.		(3 + a^2r^2) sinh ar + 5ar cosh at
	(i^2 — a^2)^3	8 ć/
80.		(8 + a^2r^2) cosh ar 4- 7ar sinh ar
	(.v^2 - a^2)^3	8
81.	3.ę^2 + a^2	r^2 sinh at
	(,v^2 — a^2)^3	la
82.	i^2 + 2a^2	cos^2 at
	s(s^2 + 4a^2)
83.	s^2 — 2 a^2	cosh^2 at
	,v(.v^2 — 4a^2)
84.	la^2	sin^2 ar
	s(s^2 + 4a^2)
85.	2a^2	sinh^2 ar
	s(s^2 — 4a^2)
86.	1	e*'/2 3a^2	1 -in co- l c-^ial/1
	i^3 + a^3		2 2
87.	s	eoi/2	co- i 73-in '^^al t-”^3"'^72
	,v^3 + a^3	3 a	vUo I V J olll L 2 2

(Continued)