Integrating Trig
Aug 21, 2015
Integrating Trig
Integrating Trig dxbaxcos
Integrating Trig dxbaxcos cbax
a sin1
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax cbaxa
cos1
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax cbaxa
cos1
dxbax2sec
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax cbaxa
cos1
dxbax2sec cbaxa
tan1
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax cbaxa
cos1
dxbax2sec cbaxa
tan1
xdxi 3sin e.g.
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax cbaxa
cos1
dxbax2sec cbaxa
tan1
xdxi 3sin e.g. cx 3cos31
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax cbaxa
cos1
dxbax2sec cbaxa
tan1
xdxi 3sin e.g. cx 3cos31
dxxii 51cos
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax cbaxa
cos1
dxbax2sec cbaxa
tan1
xdxi 3sin e.g. cx 3cos31
dxxii 51cos cx 51sin51
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax cbaxa
cos1
dxbax2sec cbaxa
tan1
xdxi 3sin e.g. cx 3cos31
dxxii 51cos cx 51sin51
dxxiii
2sec 2
Integrating Trig dxbaxcos cbax
a sin1
sin dxbax cbaxa
cos1
dxbax2sec cbaxa
tan1
xdxi 3sin e.g. cx 3cos31
dxxii 51cos cx 51sin51
dxxiii
2sec 2 cx
2tan2
2
6
2sin
xdxiv
2
6
2sin
xdxiv2
6
2cos21
x
2
6
2sin
xdxiv2
6
2cos21
x
3coscos
21
2
6
2sin
xdxiv2
6
2cos21
x
3coscos
21
43
211
21
2
6
2sin
xdxiv2
6
2cos21
x
3coscos
21
43
211
21
axis.thearoundrotatedis1 and 0between sin when
formedsolidtheofvolume theFind
xxxxy
v
2
6
2sin
xdxiv2
6
2cos21
x
3coscos
21
43
211
21
axis.thearoundrotatedis1 and 0between sin when
formedsolidtheofvolume theFind
xxxxy
v
1
0
2
sin xdx
dxyV
2
6
2sin
xdxiv2
6
2cos21
x
3coscos
21
43
211
21
axis.thearoundrotatedis1 and 0between sin when
formedsolidtheofvolume theFind
xxxxy
v
1
0
2
sin xdx
dxyV
1
0
cos1
x
2
6
2sin
xdxiv2
6
2cos21
x
3coscos
21
43
211
21
axis.thearoundrotatedis1 and 0between sin when
formedsolidtheofvolume theFind
xxxxy
v
1
0
2
sin xdx
dxyV
1
0
cos1
x
3units211
0coscos
2
6
2sin
xdxiv2
6
2cos21
x
3coscos
21
43
211
21
axis.thearoundrotatedis1 and 0between sin when
formedsolidtheofvolume theFind
xxxxy
v
1
0
2
sin xdx
dxyV
1
0
cos1
x
3units211
0coscos
dxxxvi 22sec
2
6
2sin
xdxiv2
6
2cos21
x
3coscos
21
43
211
21
axis.thearoundrotatedis1 and 0between sin when
formedsolidtheofvolume theFind
xxxxy
v
1
0
2
sin xdx
dxyV
1
0
cos1
x
3units211
0coscos
dxxxvi 22sec dxxx 22sec221
2
6
2sin
xdxiv2
6
2cos21
x
3coscos
21
43
211
21
axis.thearoundrotatedis1 and 0between sin when
formedsolidtheofvolume theFind
xxxxy
v
1
0
2
sin xdx
dxyV
1
0
cos1
x
3units211
0coscos
dxxxvi 22sec dxxx 22sec221
cx 2tan21
xdxvii 2sin
xdxvii 2sin cos2
xdxvii 2sin cos2 22 sincos
xdxvii 2sin cos2 22 sincos 2cos1
21sinsin21 22
xdxvii 2sin cos2 22 sincos 2cos1
21sinsin21 22
2cos121cos1cos2 22
xdxvii 2sin cos2 22 sincos 2cos1
21sinsin21 22
2cos121cos1cos2 22
dxx2cos121
xdxvii 2sin cos2 22 sincos 2cos1
21sinsin21 22
2cos121cos1cos2 22
dxx2cos121
cxx
cxx
2sin41
2
2sin21
21
xdxvii 2sin cos2 22 sincos 2cos1
21sinsin21 22
2cos121cos1cos2 22
dxx2cos121
cxx
cxx
2sin41
2
2sin21
21
xdxvii tan
xdxvii 2sin cos2 22 sincos 2cos1
21sinsin21 22
2cos121cos1cos2 22
dxx2cos121
cxx
cxx
2sin41
2
2sin21
21
xdxvii tan dxxx
cossin
xdxvii 2sin cos2 22 sincos 2cos1
21sinsin21 22
2cos121cos1cos2 22
dxx2cos121
cxx
cxx
2sin41
2
2sin21
21
xdxvii tan dxxx
cossin
dxxx
cossin
xdxvii 2sin cos2 22 sincos 2cos1
21sinsin21 22
2cos121cos1cos2 22
dxx2cos121
cxx
cxx
2sin41
2
2sin21
21
xdxvii tan dxxx
cossin
dxxx
cossin
cx coslog
xdxvii 2sin cos2 22 sincos 2cos1
21sinsin21 22
2cos121cos1cos2 22
dxx2cos121
cxx
cxx
2sin41
2
2sin21
21
xdxvii tan dxxx
cossin
dxxx
cossin
cx coslog
cx
cx
seclogcoslog 1
xdxxix
π
72
0
sincos
xdxxix
π
72
0
sincos xu sin
xdxxix
π
72
0
sincos xu sinxdxdu cos
xdxxix
π
72
0
sincos xu sinxdxdu cos
1,2
00
ux
,ux
xdxxix
π
72
0
sincos xu sinxdxdu cos
1,2
00
ux
,ux
1
0
7duu
xdxxix
π
72
0
sincos xu sinxdxdu cos
1,2
00
ux
,ux
1
0
7duu 1
0
8
81
u
xdxxix
π
72
0
sincos xu sinxdxdu cos
1,2
00
ux
,ux
1
0
7duu 1
0
8
81
u
81
0181 8
Exercise 14I; 2ace etc, 3ace etc, 4, 6, 8a, 9ac, 10a, 12ace, 13b(i), 14df, 15ace
Exercise 14J; 2b, 3bfh, 4a, 5ac, 7, 9, 10, 13, 14, 21, 26
xdxxix
π
72
0
sincos xu sinxdxdu cos
1,2
00
ux
,ux
1
0
7duu 1
0
8
81
u
81
0181 8