15.1 Chapeter Summary Stuff

Question 1

What kind of function on rectangle R is integrable?

Answer 1

Only a continuous function on Rectangle R is integrable

Question 2

When is signed volume positive?

Answer 2

When the signed volume is above the xy plane.

Question 3

When is the signed volume negative?

Answer 3

when the signed voleme lies below the xy-plane?

Question 4

What happens when f(x,y)= C is a constant function?

Answer 4

∫∫_RC*f(x) dx=C*Area

Question 5

What is Fubini’s Theorem

Answer 5

The double integral of a continuous function f(x,y) over a rectangle R=[a,b]X[c,d] can be evaluted as an iterated integral by switching dydx to dxdy and switching the bounds of integration