Calculus II Test 1 6.2-6.7 Flashcards Preview

Calculus II > Calculus II Test 1 6.2-6.7 > Flashcards

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

Integral of 1/x

Ln(|x|)