Area between curves

[tribal fable]

Hey guys , how do you solve this question? There are no points of intersection and no area between the two functions.

[last horizon]

Yeah, this is incorrectly posed.

[errant beacon]

I assume that there are two points of intersection

and then I think you're supposed to take the area between these two points

[unique cairn]

No.

[unique cairn]

Well, your second point is untrue.

[errant beacon]

ah right, I did not really read the equations, I just assumed it was the case since the end points were not defined…

[unique cairn]

You also didn't read what OP wrote.

[errant beacon]

I read it as no points of intersection specified

forget about it

[bold pulsar]

you could say it's +infinity but that's really meaningless

[raw jasper]

well, generally speaking, the question asks to find the area enclosed between an arbitrary interval.

[last horizon]

If no other bounds are given, you're generally supposed to set them as the intersection points.

There are none here, so this is posed incorrectly.

Maybe they meant y = x^2 - 2. That does give good bounds.

[raw jasper]

what i am trying to say is that the question asks to find the area between the curves for a <= x <= b for any arbitrary reals a and b.

Regardless, the question is incomplete

and subject to interpretation of the reader.

[last horizon]

I don't think I've ever seen this convention.

[raw jasper]

For anyone interested in the solution for this, the area is essentially the definite integral of (x^2 - x + 2) dx from a to b.

[bold pulsar]

that was not in doubt

the problem is, the region enclosed by the two curves is unbounded

no vertical asymptotes are given

[last horizon]

Well, just vertical lines.

[lilac jacinth]

the dichelon hypothesis perfectly highlights this scenario