X2 t04 07 quadratic denominators (2013)
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Transcript of X2 t04 07 quadratic denominators (2013)
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Integrating Quadratic Denominators
axaxdx
axdx
xaxadx
xadx
22
22
2
1
![Page 2: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/2.jpg)
Integrating Quadratic Denominators
axaxdx
axdx
xaxadx
xadx
22
22
2
1
fractions partial viadone
![Page 3: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/3.jpg)
Integrating Quadratic Denominators
axaxdx
axdx
xaxadx
xadx
22
22
2
1
fractions partial viadone
caxax
a
cxaxa
a
log21
log21
![Page 4: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/4.jpg)
Integrating Quadratic Denominators
axaxdx
axdx
xaxadx
xadx
22
22
2
1
fractions partial viadone
caxax
a
cxaxa
a
log21
log21
cax
axadx
122 tan13
![Page 5: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/5.jpg)
Integrating Quadratic Denominators
axaxdx
axdx
xaxadx
xadx
22
22
2
1
fractions partial viadone
caxax
a
cxaxa
a
log21
log21
cax
axadx
122 tan13
cax
xadx
122
sin4
![Page 6: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/6.jpg)
Integrating Quadratic Denominators
axaxdx
axdx
xaxadx
xadx
22
22
2
1
fractions partial viadone
caxax
a
cxaxa
a
log21
log21
cax
axadx
122 tan13
cax
xadx
122
sin4
caxxax
dx
2222
log5
![Page 7: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/7.jpg)
Integrating Quadratic Denominators
axaxdx
axdx
xaxadx
xadx
22
22
2
1
fractions partial viadone
caxax
a
cxaxa
a
log21
log21
cax
axadx
122 tan13
cax
xadx
122
sin4
caxxax
dx
2222
log5
cxaxxa
dx
2222
log6
![Page 8: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/8.jpg)
945 e.g. 2 xxdxi
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945 e.g. 2 xxdxi
525
2xdx
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945 e.g. 2 xxdxi
525
2xdx
cx
cx
52tan5
52tan
515
1
1
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945 e.g. 2 xxdxi
525
2xdx
cx
cx
52tan5
52tan
515
1
1
14
232 xx
dxxii
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945 e.g. 2 xxdxi
525
2xdx
cx
cx
52tan5
52tan
515
1
1
14
232 xx
dxxii
14
814
4223
22 xxdxdx
xxx
![Page 13: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/13.jpg)
945 e.g. 2 xxdxi
525
2xdx
cx
cx
52tan5
52tan
515
1
1
14
232 xx
dxxii
14
814
4223
22 xxdxdx
xxx
dxxduxxu42
142
![Page 14: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/14.jpg)
945 e.g. 2 xxdxi
525
2xdx
cx
cx
52tan5
52tan
515
1
1
14
232 xx
dxxii
14
814
4223
22 xxdxdx
xxx
dxxduxxu42
142
328
23
221
xdxduu
![Page 15: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/15.jpg)
945 e.g. 2 xxdxi
525
2xdx
cx
cx
52tan5
52tan
515
1
1
14
232 xx
dxxii
14
814
4223
22 xxdxdx
xxx
dxxduxxu42
142
328
23
221
xdxduu
cxxxu 142log8223 22
1
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945 e.g. 2 xxdxi
525
2xdx
cx
cx
52tan5
52tan
515
1
1
14
232 xx
dxxii
14
814
4223
22 xxdxdx
xxx
dxxduxxu42
142
328
23
221
xdxduu
cxxxu 142log8223 22
1
cxxxxx 142log8143 22
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dx
xxiii2
3
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dx
xxiii2
3
dx
xx
xx
33
23
![Page 19: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/19.jpg)
dx
xxiii2
3
dx
xx
xx
33
23
dxxx
x26
3
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dx
xxiii2
3
dx
xx
xx
33
23
dxxx
x26
3
22 6
521
612
21
xxdxdx
xxx
![Page 21: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/21.jpg)
dx
xxiii2
3
dx
xx
xx
33
23
dxxx
x26
3
22 6
521
612
21
xxdxdx
xxx
dxxduxxu12
6 2
![Page 22: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/22.jpg)
dx
xxiii2
3
dx
xx
xx
33
23
dxxx
x26
3
22 6
521
612
21
xxdxdx
xxx
dxxduxxu12
6 2
221
21
4252
521
x
dxduu
![Page 23: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/23.jpg)
dx
xxiii2
3
dx
xx
xx
33
23
dxxx
x26
3
22 6
521
612
21
xxdxdx
xxx
dxxduxxu12
6 2
221
21
4252
521
x
dxduu
cx
u
5212
sin252
21 12
1
![Page 24: X2 t04 07 quadratic denominators (2013)](https://reader034.fdocuments.us/reader034/viewer/2022052323/5591a1d31a28aba7268b4720/html5/thumbnails/24.jpg)
dx
xxiii2
3
dx
xx
xx
33
23
dxxx
x26
3
22 6
521
612
21
xxdxdx
xxx
dxxduxxu12
6 2
221
21
4252
521
x
dxduu
cx
u
5212
sin252
21 12
1
cxxx
512sin
256 12
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Exercise 2F; odd
Exercise 2H; 1, 2, 5, 6, 9, 15, 17 to 20