x2 t05 03 t results (2010)
TRANSCRIPT
(6) t results
(6) t results
2tan If xt
(6) t results
2tan If xt
2
2
2 11cos ,
12sinthen
ttx
ttx
(6) t results
2tan If xt
2
2
2
121
2tan1
21
2sec
21
t
x
xdxdt
2
2
2 11cos ,
12sinthen
ttx
ttx
(6) t results
2tan If xt
2
2
2
121
2tan1
21
2sec
21
t
x
xdxdt
2
2
12
12
tdtdx
tdtdx
2
2
2 11cos ,
12sinthen
ttx
ttx
xdxcos67
e.g.
xdxcos67
e.g.
212
2tan
tdtdx
xt
xdxcos67
e.g.
212
2tan
tdtdx
xt
2
2
2
1167
12
tt
tdt
xdxcos67
e.g.
212
2tan
tdtdx
xt
2
2
2
1167
12
tt
tdt
2
22
132
66772
tdt
ttdt
xdxcos67
e.g.
212
2tan
tdtdx
xt
2
2
2
1167
12
tt
tdt
2
22
132
66772
tdt
ttdt
ct
13tan
132 1
xdxcos67
e.g.
212
2tan
tdtdx
xt
2
2
2
1167
12
tt
tdt
2
22
132
66772
tdt
ttdt
ct
13tan
132 1
c
x
132
tantan
132 1
If tant x
If tant x 2
2
2
sec
1 tan1
dt xdx
xt
If tant x 2
2
2
sec
1 tan1
dt xdx
xt
2
2
11
1
dxdt t
dtdxt
If tant x 2
2
2
sec
1 tan1
dt xdx
xt
2
2
11
1
dxdt t
dtdxt
In General :
If tan xta
If tant x 2
2
2
sec
1 tan1
dt xdx
xt
2
2
11
1
dxdt t
dtdxt
In General :
If tan xta
2
2
2
1 sec
1 1 tan
1 1
dt xdx a a
xa a
ta
If tant x 2
2
2
sec
1 tan1
dt xdx
xt
2
2
11
1
dxdt t
dtdxt
In General :
If tan xta
2
2
2
1 sec
1 1 tan
1 1
dt xdx a a
xa a
ta
2
2
1
1
dx adt t
adtdxt
If tant x 2
2
2
sec
1 tan1
dt xdx
xt
2
2
11
1
dxdt t
dtdxt
In General :
If tan xta
2
2
2
1 sec
1 1 tan
1 1
dt xdx a a
xa a
ta
2
2
1
1
dx adt t
adtdxt
Exercise 2C; 20 21, 24, 25