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Integration Involving Inverse Trig
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
22 xadx c
ax
a
1tan1
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
22 xadx c
ax
a
1tan1
e.g. 24 x
dxi
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
22 xadx c
ax
a
1tan1
e.g. 24 x
dxi
cx
2sin 1
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
22 xadx c
ax
a
1tan1
e.g. 24 x
dxi
cx
2sin 1
29 xdxii
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
22 xadx c
ax
a
1tan1
e.g. 24 x
dxi
cx
2sin 1
29 xdxii
cx
3tan
31 1
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
22 xadx c
ax
a
1tan1
e.g. 24 x
dxi
cx
2sin 1
29 xdxii
cx
3tan
31 1
1
022 x
dxiii
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
22 xadx c
ax
a
1tan1
e.g. 24 x
dxi
cx
2sin 1
29 xdxii
cx
3tan
31 1
1
022 x
dxiii1
0
1
2sin
x
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
22 xadx c
ax
a
1tan1
e.g. 24 x
dxi
cx
2sin 1
29 xdxii
cx
3tan
31 1
1
022 x
dxiii1
0
1
2sin
x
0sin2
1sin 11
Integration Involving Inverse Trig
22 xa
dxc
ax
1sin OR c
ax
1cos
22 xadx c
ax
a
1tan1
e.g. 24 x
dxi
cx
2sin 1
29 xdxii
cx
3tan
31 1
1
022 x
dxiii1
0
1
2sin
x
0sin2
1sin 11
4
04
0
2log2
1
1 evaluate hence and sin Find dx
eee
dxdiv
x
xx
0
2log2
1
1 evaluate hence and sin Find dx
eee
dxdiv
x
xx
xedxd 1sin
x
x
ee
21
0
2log2
1
1 evaluate hence and sin Find dx
eee
dxdiv
x
xx
xedxd 1sin
x
x
ee
21
0 2log1
0
2log2
sin1
xx
x
edxe
e
0
2log2
1
1 evaluate hence and sin Find dx
eee
dxdiv
x
xx
xedxd 1sin
x
x
ee
21
0 2log1
0
2log2
sin1
xx
x
edxe
e
3
62
21sin1sin
sinsin
11
2log101
ee
0
2log2
1
1 evaluate hence and sin Find dx
eee
dxdiv
x
xx
xedxd 1sin
x
x
ee
21
0 2log1
0
2log2
sin1
xx
x
edxe
e
3
62
21sin1sin
sinsin
11
2log101
ee
294 xdxv
0
2log2
1
1 evaluate hence and sin Find dx
eee
dxdiv
x
xx
xedxd 1sin
x
x
ee
21
0 2log1
0
2log2
sin1
xx
x
edxe
e
3
62
21sin1sin
sinsin
11
2log101
ee
294 xdxv
2
943 x
dx
0
2log2
1
1 evaluate hence and sin Find dx
eee
dxdiv
x
xx
xedxd 1sin
x
x
ee
21
0 2log1
0
2log2
sin1
xx
x
edxe
e
3
62
21sin1sin
sinsin
11
2log101
ee
294 xdxv
2
943 x
dx
2
943
1
x
dx
0
2log2
1
1 evaluate hence and sin Find dx
eee
dxdiv
x
xx
xedxd 1sin
x
x
ee
21
0 2log1
0
2log2
sin1
xx
x
edxe
e
3
62
21sin1sin
sinsin
11
2log101
ee
294 xdxv
2
943 x
dx
2
943
1
x
dx
cx
23sin
31 1
0
2log2
1
1 evaluate hence and sin Find dx
eee
dxdiv
x
xx
xedxd 1sin
x
x
ee
21
0 2log1
0
2log2
sin1
xx
x
edxe
e
3
62
21sin1sin
sinsin
11
2log101
ee
294 xdxv
2
943 x
dx
2
943
1
x
dx
cx
23sin
31 1
Exercise 1E; 2, 3, 4a, 5b, 6 & 7bdf, 9,12, 13, 16, 17, 20, 22