Pure: Chapter 11 - Integration Flashcards
1
Q
sin 3x
A
-1/3 cos 3x + c
2
Q
cos 3x
A
1/3 sin 3x + c
3
Q
tan 3x
A
1/3 ln|sec 3𝑥| + c
OR
-1/3 ln|cos 3𝑥| + c
4
Q
sin ^2 x
A
cos 2x = 1 - 2 sin ^2 x
sin ^2 x = 1/2 - 1/2 cos 2x
= 1/2 x - 1/4 sin 2x + c
5
Q
cos ^2 x
A
cos 2x = 2cos ^2 x - 1
cos ^2 x = 1/2 + 1/2 cos 2x
= 1/2 x + 1/4 sin 2x + c
6
Q
tan ^2 x
A
tan ^2 x = sec ^2 x - 1
= tan x - x + c
7
Q
sec ^2 x
A
tan x + c
8
Q
cosec ^2 x
A
- cot x + c
9
Q
sec x tan x
A
sec x + c
10
Q
cot x cosec x
A
- cosec x + c
11
Q
cot x
A
ln|sin 𝑥|
12
Q
cot ^2 x
A
cot x - x + c
13
Q
cosec 3x
A
FORMULAE BOOKLET
14
Q
sec 3x
A
FORMULAE BOOKLET
15
Q
1 / x
A
ln x
