Practice Problems For Calc 2, Assignments of Mathematics

Random Practice problems from chapters 3.1-3.3

Typology: Assignments

2023/2024

Uploaded on 04/28/2025

aidan-maharaj
aidan-maharaj 🇺🇸

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3
.
3
.
3
.
2
3
.
2
d
#
IIS
.
incode
#
20
#
62
#
98
t
sin
cos
sin
?
10s
+
=
0
Jet
cost
Ex
V(z)
:
72e
-
z
Stanxsex
du
sinc
i)
Cos
1- it)
=
0
n
=
cosx
du
=
-sinx
dx
Stanxsec
dx
=
Staux-secX
.
seede
i
Col
V
=
ex
dv
=
exdx
h
=
sex
du
:
sectan
Judv
=
ur-Jodu
Lu
=
Itdt
Stanxsec"
dx
=
Staux-sec
·
seede
Jetcostdx
=
ecos
+
Je/sinde
v
=
2
*
dri-e
*
d
+
-
Stanxcxdx
=
Ssecy
.
secdx
n
:
sinx
dv
=
e
"
dy
Je
*
dt
=
-Eit
_
f-Ite
*
dt
Stemsecdx
=
Sundu
v
=
ex
du
=
cost
Jetsinx
dx
=
esinx-Jetcost
d
Ste
*
dt
=
-
Fe
+
2/te
*
It
U
=
z
dv
:
e-tdt
excosx
+
esinx-lecosida
=
Set cost
de
du
=
d
+
v
=
-
e
-
#
+
Jecost
de
+
Sze
*
dt
=
-Ze
-
f -
e-
*
dt
3
.
3#142
X
=
Sseif
cos
+
esin
=
[Jetcosad
Ste
*
dt
=
-ze
+
fe
*
d
Jus
dx
dr
=
Stansecod
Ite"dt
=
-zet
- e
*
=
e
+(
+
1)
&
stansect
te (cost
+
sinc
+
C
(i
*
t
=
-12
*
+
2/tdt
Stant
-
St
+
C
X
=
Ssect
see"(5)
=
=
Sect
It i
*
dt
=
-zi
=
+
2
(e
-(t
+
1)
5
tan
(sei"
(E))-S(ses())
+
C
X
=
tant
t
=
tan"
(x)
It
e
*
dt
=
-
e-z(E
+
2t
+
2)
&>
Ex
:
Stan (e)-Skes'
(l)
+
C
3
.
3
Sip dr
:
sec
lotd
J
d
It
*
dt
=
(-
e
*
(
+
+
2
+
+
2)#150
tanc
x
=
2
+
an(t)
#
140
t
=
tan'(
(cos2(f)dE
cost(t)
:
ISRE
d
-
e
(4
+
4
+
2)
=
-
10e
-
Six
=
2sec()d
-
e
%
+
0
+
2)
=
-
2
x2
:
C
+
anfil"
=
4
tan"(E11
+
sch
d
=
fld
+
Jos (old
-
102
--
2
x
+
4
=
4
+
2n
"(t)
+
y
=
4(
+
an
2)
+
1)
=
4sei
I
#un
(0)
·
[sec
old
:
/Itan
(o)
de
[f
+
=(cos(28)dt
,
(cos(28)
ht
=
[sin(2e)
I
(2(ses
E
-
11dt
=
2
((sec
(0)
-
1)dt
=
1
P
Fr
d
=
-
+
4
Sec"LE)
!
If
+
t
[sin(2t)
=
[0
+
+sin(20)
2(sec2
(o)dE-2
(dt
:
[fant-Ct
+
C
-
2
(E) -Itan"(E)
+
C
=
x
-
2 tan'(E)
+
c
=
is
,
li
:
Iton' (
+
+
C
&
X-
Har()
+
c

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3.^2

d

#IIS .incode

#^20 # 62 # (^98) tsin cos sin?^ 10s+^ =^0 Jet (^) cost Ex^ V(z) : (^) 72e

  • z (^) Stanxsex du sinci)Cos1- it)=^0 n =^ cosx du=^ -sinx^ dx^ Stanxsecdx =^ Staux-secX. (^) seede iCol V = ex dv^ =^ exdx^ h = ⑳ sex du^ :^ sectan Judv =^ ur-Jodu^ Lu = (^) Itdt Stanxsec" (^) dx =^ Staux-sec· (^) seede Jetcostdx =^ ecos^ +^ Je/sinde v^ =^2

dri-e *d+ - Stanxcxdx=^ Ssecy. (^) secdx n:^ sinx dv=^ e " (^) dy Je

dt =-Eit_ f-Ite

dt Stemsecdx = Sundu v = ex du^ =^ cost Jetsinx dx^ = esinx-Jetcost d^ Ste

dt = - Fe+ 2/te

It U = z dv :^ e-tdt excosx +^ esinx-lecosida = (^) Set costde (^) du= d+ v= - e^ -

  • (^) Jecostde + Sze

dt=^ -Ze-f - e-

dt 3 .3# cos^ X^ =^ Sseif

esin = [Jetcosad Ste

  • (^) dt = -ze+ fe

d Jus dx^ dr=^ Stansecod Ite"dt (^) = -zet - e

= e+(^ +^ 1) &stansect e (cost

  • (^) sinc + (^) C (i

↓t= (^) -

  • (^) 2/tdt Stant -^ St + C X=^ Ssect see"(5) =^ =Sect It i*dt = -zi= + (^2) (e-(t+1) 5 tan^ (sei"(E))-S(ses())+^ C X (^) = tant (^) t= tan"(x) Ite

dt =^ - e-z(E+ 2t +2) &>Ex^ :^ Stan (e)-Skes'(l)+C

3.^3 Sip dr :^ seclotd J d (^) It

dt = (^) (-e* (++ 2 ++2)#150tanc x =^2 +an(t) #^140 t= tan'( (cos2(f)dE cost(t) :^ ISREd^

  • e(4+ 4 + (^) 2) =^ -^ 10e

Six= 2sec()d ↑

  • (^) e% + 0 + (^) 2) = - (^2) x2: C (^) +anfil" = 4 tan"(E

sch (^) d = (^) fld + Jos (old (^) - 102 --^2 x+ 4 = 4 + 2n"(t) +y=^ 4(+an2)+^ 1)=^ 4sei I #un(0)^ · (^) [secold : (^) /Itan(o) de [f+^ =(cos(28)dt , (cos(28)^ ht^ =^ [sin(2e)

I

(2(sesE^ -^ 11dt^ =^2 ((sec(0)^ -^ 1)dt=^1

P^ Fr

d= - +

4 Sec"LE)

! If+^ t [sin(2t) =^ [0^ +^ +sin(20)^ 2(sec2(o)dE-2^ (dt:^ [fant-Ct+^ C

  • (^2) (E) -Itan"(E) +^ C^ =^ x- 2 tan'(E)+ c =is

, li

: (^) Iton' ( ++^ C & (^) X- Har()+^ c