Question

estimating integrals using the graph.
I have to estimate the integral using the graph for a couple of problems. Can anyone show me how or provide a website that teaches this?

Thanks.

Answer 1

im pretty good at this--the main idea is the the integral is the area between the graph and the x-axis. This is pretty easy to estimate for straight-line graphs, but a little trickier for curves.

Answer 2

hm, the exact question I'm looking at seems to be easy enough to count but none of the answer choices seem big enough. Am I counting wrong?

Answer 3

is the answer you're getting 12.5?

Answer 4

no o-o how did you get that?

Answer 5

Well, that would be the wrong answer, but it would be the most common mistake.

Answer 6

Did you make sure to count the squares under the x-axis as negative?

Answer 7

Because if you didnt, you could end up with a larger, wrong answer.

Answer 8

ohhhhh oh my goodness I feel so stupid now, I just realized I can't include everything below the x-axis. Thank you so much!

Answer 9

Well, it has to be included, it just has to be counted as a negative value.

Answer 10

lol yep, thank you (:

Answer 11

Any time!