Question

@DanJS

Answer 1

@DanJS @SolomonZelman

Answer 2

it is C right? ive been trying to get this question answered for the passed 2 hours ahahah @SolomonZelman

Answer 3

@perl

Answer 4

did you graph the region (thats what i would do first)

Answer 5

the form of the integral is

integral ( top curve - bottom curve) dx

Answer 6

yes! x^2 is a parabola,

Answer 7

It is the semi triangular looking region

Answer 8

You should divide that up into two regions and add it together
x from 0 to 1, then from 1 to 2

Answer 9

The first is the area below x^2 from x = 0 to x = 1

Answer 10

The second is the area below y = 2 - x, from x = 1 to x = 2

Answer 11

THe integral of a SUm is the sum of the integrals,

Answer 12

can you see that on the graph clearly?

Answer 13

yes! im looking at it now(:

Answer 14

Wow i didnt look at the answer choices. that makes it pretty obvious.. haha sorry

Answer 15

Just remember, the integral over the two bounds is the area underneath the curve. You need one that will sum up to give the region you are looking for.

Answer 16

The first answer choice, gives the region above the line and below x^2 curve, that is not the region you want.