Hi.

Given

$\displaystyle \int_{-1} ^2 {f(x) =a}$ and $\displaystyle \int_0 ^2 {f(x) = b $

the value of

$\displaystyle \int_0 ^{-1} f(x) $ is:

A. a+b

B. 2a-b

C. a-b (which I think is right)

D. a-2b

E. b-a (might be true?)

I am confused because the last integral boundaries are from 0 to -1 and I always see them written from the smaller to the bigger number, aka from -1 to 0.

Does this makes a the result different? (maybe it's a mistake in the printing?)

Thanks.

attached image is another question, sorry for the unprofessional editing, it's from the book and it's not in English so i had to edit it a little... the pen markings are my own, what I think are correct/incorrect.

So I basically think statements 2 and 3 are correct, therefore answer D would be my choice, what do you think?

I need to send this out today and have total of 18 problems to answer (luckily this time they are multiple choices, not "open ended")

I would probably add more pictures as it's much easier and faster than typing the whole equations in the forum...

Thanks.