I have an online quiz, that I am currently taking and should submit pretty soon.

The answer in bold is the one I chose. If I am wrong, please explain why

Thanks for any input, I appreciate it.

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1) Let R be the region between the curves y=x^2

and y=2x-(x^2).

To find the area of R, we need to

A) integrate [(x^2)-(2x-x^2)] from 0 to 1

**B) integrate [(2x-x^2)-(x^2)] from 0 to 1** Mr F says: Correct.
C) integrate [(x^2)-(2x-x^2)] from 0 to 2

D) integrate [(2x-x^2)-(x^2)] from 0 to 2

2)Let R be the region bounded by the curves y=(x^2)+3 and y=x, for x in [-1,1].

The area of R is equal to

A) 2

B) 17/3

**C) 20/3** Mr F says: Correct.
3) Let R be the region bounded by the curves x=(y^2) and y=x+5, for y in [-1,2].

Sketch the region, then answer the following question.

The most convenient way to find the area of R is to slice the region...

A) horizontally

B)

** vertically** Mr F says: Horizontal is most convenient for me. But you know what they say .... one man's meat is another man's poison ..... I think the question is quite stupid, actually.