Flashcards in C3 Deck (19):

1

## product rule

### dy/dx = u dv/dx + v du/dx

2

## quotient rule

### dy/dx = v du/dx - u dv/dx / v^2

3

## integration by parts

### f(u dv/dx)dx = uv - f(v du/dx)dx

4

## differentiate sinx

### cosx

5

## differentiate cosx

### -sinx

6

## integrate sinx

### -cosx

7

## integrate cosx

### sinx

8

## integrate tanx

### lnsecx

9

## differentiate tanx

### sec^2x

10

## integrate 1/ax+b

### 1/a ln|ax+b|

11

## differentiate lnx

### 1/x

12

## integrate f'(x)/f(x)

### ln|f(x)|

13

## differentiate f(ax+b)

### af'(ax+b)

14

## identity involving sec and tan

### sec^2x = 1 + tan^2x

15

## identity involving cosec and cot

### cosec^2 = 1 + cot^2x

16

## integrate e^ax

### 1/a e^x

17

## solids of revolution about the y axis

### π f x^2 dy

18

## mid ordinate rule

### area = h x sum of mid ordinates

19