indefinite integration Flashcards
1
Q
integration of tanx dx
A
log|sec x|dx + c
or - log | cosx| dx+c
2
Q
integration of cot x dx
A
log|sinx| dx or convert to cosec x .
3
Q
secx dx
A
ln|secx+tanx | + c
or convert to sec- tan
or
**
log|tan( pi/4+ x/2 )|
4
Q
cosec x dx
A
ln|cosecx - cot x |
convert to - cosex+ cot x
or
***
log|tan(x/2)|
5
Q
sec sq x
A
tanx +c
6
Q
cosec x sq
A
- cot x + c
7
Q
sec x tan x
A
sec x + c
8
Q
cosec x cot x
A
- cosec x + c
9
Q
1/x dx
A
ln|x| + c
10
Q
1/x sq dx
A
- 1/x
11
Q
1/root(x)
A
2 root (x) + c
12
Q
2 sin A sin b
A
cos ( a-b ) - cos ( a+ b)
13
Q
2 cos a cosb
A
cos ( a+b) + cos ( a-b)
14
Q
2 cos a sin b
A
sin ( a+b ) - sin ( a-b)
15
Q
2 sin a cos b
A
sin ( a+b) + sin ( a-b)
