Flashcards in Calculus II Test 1 6.2-6.7 Deck (12):

1

## Area of a region bounded by f(x) and g(x) on [a,b]

### integral from a to b of (g(x)-f(x)) where f(x)

2

## volume by slices

### integral from a to b of A(x)dx

3

## Disk method

### integral from a to b of (pi(f(x))^2)dx

4

## Washer method

### integral from a to b of (pi)[(f(x)^2-(g(x))^2]dx

5

## Volume by shells

### integral from a to b of (2*pi*x*f(x))dx

6

## Volume by shells with 2 equations

### integral from a to b of (2*pi*x*(f(x)-g(x))dx where f(x)>g(x)

7

## Length of a curve

### integral from a to b of (sqrt(1+(f'(x))^2))dx

8

## disk and washer method revolved about the x-axis, integrate with respect to...

### x

9

## Area of a surface of revolution

### integral of a to b (2*pie*f(x)*sqrt(1+f'(x)^2))dx

9

## Shell method to find volume of solids

### 2*pi*(x+d)(f(x)-g(x))dx where it's revolved around the line -d

10

## Integral of e^(ax)

### (e^ax)/a

11