indefinite integration Flashcards
integration of tanx dx
log|sec x|dx + c
or - log | cosx| dx+c
integration of cot x dx
log|sinx| dx or convert to cosec x .
secx dx
ln|secx+tanx | + c
or convert to sec- tan
or
**
log|tan( pi/4+ x/2 )|
cosec x dx
ln|cosecx - cot x |
convert to - cosex+ cot x
or
***
log|tan(x/2)|
sec sq x
tanx +c
cosec x sq
- cot x + c
sec x tan x
sec x + c
cosec x cot x
- cosec x + c
1/x dx
ln|x| + c
1/x sq dx
- 1/x
1/root(x)
2 root (x) + c
2 sin A sin b
cos ( a-b ) - cos ( a+ b)
2 cos a cosb
cos ( a+b) + cos ( a-b)
2 cos a sin b
sin ( a+b ) - sin ( a-b)
2 sin a cos b
sin ( a+b) + sin ( a-b)
sin sq x
1- cos 2x / 2
cos sq x
1+ cos 2x/2
sin cube x
3 sinx - sin3x / 4
cos cube x
3 cosx + cos 3x / 4
integration of
1/ root ( 1- x sq)
sininverse x
integration of
1/ |x|*root ( xsq-1)
sec inverse x or - cosecinverse x
integration of
1/1+xsq
tan inverse x
