Question

for the graph of f(x) shown above, which of the following integral statements is(are) true?

Answer 1

I think the answer is D. I took the integral of what I thought I's equations were, and they did not match.

Answer 2

I don't think II is correct because the area on the second integral is negative

Answer 3

just looking at it geometrically, why do you think that statement I is not true?

Answer 4

As soon as you said your first post, I looked back at it and realized my mistake. The integral is the area under the curve, so looking at it geometrically I & II should be correct.

Answer 5

but the area between -2 and 2 is negative

Answer 6

so it should be slightly different I think

Answer 7

don't respond to them nanoman

Answer 8

I blocked him

Answer 9

I keep suspending him but he is creating duplicate accounts

Answer 10

Hm...maybe openstudy needs to figure out a way to block ip addresses.

Answer 11

only admins can, I am telling them to do so right now

Answer 12

anyways...

Answer 13

So, you think the answer is C?

Answer 14

keep in mind the positive and negative areas
there is more negative area than positive, right?

Answer 15

Looks like I misread the domains....and yes.

Answer 16

we agree I is correct
after what I just said what do you think about III ?

Answer 17

I see how you did it, I just might need to look up whether or not negative area is counted as positive. Negative area is still area under the curve.

Answer 18

in this case they are asking about the actual integral, not "area" which is always positive
so\[\int_{-6}^{2}f(x)dx=-\int_{-2}^{2}f(x)dx\]would you not agree?

Answer 19

that should be \[\int_{-6}^{-2}f(x)dx=-\int_{-2}^{2}f(x)dx\]

Answer 20

Oh...I see. Yes, I would agree with that. I'll be sure to read the questions more carefully next time. Thanks!

Answer 21

great :)
so what is your final answer?

Answer 22

A.

Answer 23

By the way TuringTest, be sure to tell the openstudy people to add proxy detectors to their next update.

Answer 24

I'm actually talking about that right now with admin, but they are busy working on the new smartscore deal

Answer 25

ohh....right! I'll put it in feedback.

Answer 26

good idea :)
but they are quite busy, so we'll have to wait on that one probably

Answer 27

oh, and I agree that A is correct :)

Answer 28

Awesome!

Answer 29

We'll still read any feedback ideas. Don't worry.