Question

FTC problem... link posted.

Answer 1

http://screencast.com/t/7miUoxLU

Answer 2

its -4, but let me try to explain why

Answer 3

ok so from 2 to 8, the area under the curve is 5.
from 5 to 8, the area under the curve is 9.
we want to find the area under the curve from 2 to 5.
think about that for a sec

Answer 4

haha, i know what all of the definite integrals mean, there must be some negative area there.

Answer 5

oh yeah, negative areas are possible. it just means its under the x axis

Answer 6

but how do you know that it is -4?

Answer 7

(area from 2 through 8) - (area from 5 through 8) = area from 2 through 5.

Answer 8

ahhh of course :/

Answer 9

thanks so much, makes sense now.

Answer 10

haha yeah, you have to think of it conceptually. just taking areas out of each other