1. L ot. u (e*) =+r
b- L (sier Zt) , j*1,
c,. L (cm s")=+s:+9
d. L (sioh Er) =#.u
e, L (cosh3v)=t'*
&. o,. L (g"o- a srn =t) . : 3L' (e'* )- rt
:r3* -" lo,
j 's-2 s'+ag
t -?t
b. L (qJ'- + 3 cos a+) = 4L (e-'*) * 5L
':4+53:
s t3 s.+{
6. ,' L (s"-1tt,B,,siah {r, = 5L [e-2*) + :3L
. =t-a. tL
s ta sltb:
fE
a- L tt.tf +6+3-3sin4t$a-'c.os 3k)
= L (qq*) * !u.
(+') - 5L_Lsi., i$ * LL
-t*,
- qu (,e) - sL [t) + 6u (r') - at'(.i., qi) *
=-$.
.9t:S-L- + AS
s s !r- Fre ',F+g : .
= 4:'? + -*- - tL _ 5-g
5-b -a r E-'r s ' sa+ t6 st*b
e'L(a*, rr r{ cos:t 5t+ au,-1+)
= :L t.rt ,.rr) * 1u (co:h EE) + A L (;-1*)
=*9 +3s_1 6
s-t.l s--Lb s*1
( sio s+)'
("r, ab)
'f ,
I si'or''r qt)
2. s. d. L (+=-e*)
=L (+t )=+
=L tr._
"S.trh{
b - U (e-'* sio st) =. ? == -- (s,.+ 3)"r b.
=g6.
".
. L' (eu* cos a.t) = s-3 - -Ls-t)=+43
4.a.
=l-i--6'-BS+ 1o
d. L L."t s'Ltrh'{}) =6fi4,
: r .. -'3E:$s-t2"' i ; .
"
g. L L;'* L* q,4L'9 sto **)3 =-ef+b*- - !o
S'-69*zg St-6stt3
sG ={l$tr)'6
kaceruot L ttt) =
Mqi<a u fe't+[ ?
=
;
"-*ntEi_
d.3tt) =f eostru;f (t-+rr),{r}rt.t
' L o ' r |4
$n
L (corh u) = fi
i"ai ,LLgtb)l = e?n .+-.) s._ t
-. S . e*rts
sa- t
b.gt+) =cos (--qu) ,6zTLo , *< T
L leos +) = *,
Jaai, L tgLr) , e-3lr*s' JL,. , ,' s"+l
= I e*zrg
s^+ ,
3. !
i
I 7*',
E. a. L [*')'
u [r(+)1 =*,
L ; q'1+)3 : s. L
,...;.
b - u' (*t*)'
u tt rt)}
u [1'(+)]
= 9.9
st
p (o) = o
t,qt*I3 - g .
-l - l ,
r t ,g(o)=ls-,
, S.J- -ts-3
C.
.it.
L [1'(+)] = s,'.]. - r
Ao*
sltf
e.L
L
=l ,
s-4
1--q'e{u du3 = -]- . -l-'s s-{
- s(s-4)
4. c.
L t.:J, cos 5u du 3
F(t) = Los bL
L 1"orui) =*r,
Ylaxa Lt'q c-!iiu3
L
l*J sia 6u du]uo
Ft+) c Si$ 6t
L lsio ut = + t
- S-+3L
rvtat<o L tt$" sio 6u du 3
_ I -9-T fizt
=9o
sls-+ ab)
:-!-, L
s szt a6
=6sCs"* eb)
A. Ltt giotu 4u du] . : *
ttt) = sioh 4+
L [.,rrt 4t = -1- ,
*.*o . tq
t^;t
1u Aul = + fo,
L t"q cosh Bu Au 3
tt+ = c-osh. Bt
U tc"rl" Br) =*Eq,
t4apa L fS, eorh 8u du '1,
=.L-, -1-J S s"-6{
=-5--s (sz-6q)
q.L [+ sio Bt)
L Lsi., Br) ,**,
L [t sia 8+ =
(:,]'* t=$*.)
= L-ffi.il
b,' t- [+ .u. b+)
L (cos e+) =
#*,
L (e crs sr) = t- r I'+ L*,
=
r.(s"t ae)- zs (s)
Ls'* 64)'
- sz+ 6i -asz
--(r-I|Qp
= 6q-s2'
ir.ff
i
e.
t6s
s"+b{
