Formulas

Question 1

Formula for volume of revolution: disk?

Answer 1

(from a to b) ∫ πR(x)^2 dx

Question 2

Formula for volume of revolution: washer?

Answer 2

(from a to b) ∫ π [(R(x)^2) -(R(x)^2)] dx

Question 3

If the axis of revolution is horizontal, which variable should be integrated?

Answer 3

x

Question 4

If the axis of revolution is vertical, which variable should be integrated?

Answer 4

y

Question 5

Formula for arclength

Answer 5

(from a to b) ∫ √(1 + [f’(x)]^2) dx

Question 6

Formula for integration by parts

Answer 6

∫ udv = uv -∫ vdu