Question

please help. Find the area of the indicated region
Between y = x^2 and y = −1 for x in [−1, 1]

Answer 1

did you draw the region?

Answer 2

I graphed it

Answer 3

or is the region already given to you

Answer 4

it'd just be
\[A=\int_{x=-1}^1(1-x^2)dx\]

Answer 5

wait..
is that
\[\Large y=-1\qquad{\rm OR}\qquad y=1
\]

Answer 6

y= -1

Answer 7

then, the other graph must be\[\Large y=-x^2 \qquad{\rm NOT}\quad y=x^2\]

Answer 8

it says y = x^2

Answer 9

post the picture of the graph

Answer 10

but if that is the case, then
\[A=\int_{x=-1}^1(x^2+1)dx\]

Answer 11

the graph looks like this

Answer 12

ok. then it is the second integration I just wrote