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anonymous
 one year ago
Write the summation to estimate the area under the curve y = 1 + x^2 from x = –1 to x = 2 using 3 rectangles and right endpoints.
anonymous
 one year ago
Write the summation to estimate the area under the curve y = 1 + x^2 from x = –1 to x = 2 using 3 rectangles and right endpoints.

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1so where will out summation start?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1remember we go to the right of the first interval

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1the intervals here are 1,0 0,1 1,2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Would we not need to divide into four intervals? That's what I got from you from the other posts.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Three rectangles = three intervals

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I feel stupid....thanks @SithsAndGiggles

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So can you also explain the right or left endpoints? My AP Calc teacher last year never taught us anything like this.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sure. I found I learned it best with a visual representation (which I'll be doing in parts for colorcoding purposes) dw:1441158115140:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the point here is to find the area under the curve, but suppose we don't know the various rules for antiderivatives. Instead, we can approximate the area using rectangles (among other shapes), like so: dw:1441158222375:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The area under the curve is then *approximately* equal to the total area under the curve. The "left/right endpoint" approximations refer to those that use rectangles that are determined by their left/right endpoints. For your question, you're looking at the right endpoints: dw:1441158349598:dw