Help finding exact area under the curve...

[Alpha6]

I've watched about 1,000 videos (number an estimate) and I can't figure this out. I can find the estimate, using Riemman summation, how do I find the exact area? Any help?

 

[Deleted member 4993]

I've watched about 1,000 videos (number an estimate) and I can't figure this out. I can find the estimate, using Riemman summation, how do I find the exact area? Any help?
View attachment 4665

Did you perform the "anti-derivative" action - i.e. integration and applied limits - to these functions?

 

[Alpha6]

Did you perform the "anti-derivative" action - i.e. integration and applied limits - to these functions?

I thought I was not supposed to integrate it b/c that would only give me the estimate (?)

I tried 3- (-1) / n or 4/n then plugged it in for the X's (as I saw in a video). But I got lost at about 10 minutes of that video.

 

[HallsofIvy]

Why would you think the anti-derivative would give only an estimate of the volume?