Integration Flashcards
(11 cards)
1
Q
Alternative write
A
Top and bottom of sigma correspond
2
Q
tan and cot
A
Use division rule
3
Q
Sin and Cos
A
Rearrange double angle
4
Q
Parts
A
uv - int( u’v)
Choose u - diff
Choose v’ - int
5
Q
Division
A
Diff / Non-diff
ln|bottom|
6
Q
When to substitute
A
Inner bracket present
7
Q
Area between 2 curves
A
top-bottom
May need to divide based on intersection
8
Q
Integration decision making
A
Is it general or particular?
Is it a single function, product of two functions, or a fraction
If product:
Is it reverse chain rule?
Is it parts?
Is it substitution?
If fraction:
Is it f’/f rule?
Is it partial fractions? (Denominator factorises)
Is it by substitution
Tricks:
lnx
e^x*sinx
sin^2x
cos^2x
tan^2x
cot^x
9
Q
Seperation of variables
A
Choose a side for a constant
10
Q
Int MM
A
+ C
11
Q
dy/dx = ky or -ky
A
Exponential growth
Exponential decay
