So i tried to this question and got f(x) = 1 + x

upper estimate = 9

lower estimate = 6

wondering if i'm on the right path. thx!

Printable View

- Nov 18th 2012, 02:26 PMsimba412Upper and Lower Limits of interval for Riemann's Sum
So i tried to this question and got f(x) = 1 + x

upper estimate = 9

lower estimate = 6

wondering if i'm on the right path. thx! - Nov 18th 2012, 02:38 PMPlatoRe: Upper and Lower Limits of interval for Riemann's Sum
- Nov 18th 2012, 02:45 PMsimba412Re: Upper and Lower Limits of interval for Riemann's Sum
ohhh so: lower = 3, upper = 3+3x?

- Nov 18th 2012, 02:53 PMskeeterRe: Upper and Lower Limits of interval for Riemann's Sum
- Nov 18th 2012, 03:09 PMsimba412Re: Upper and Lower Limits of interval for Riemann's Sum
i thought the upper limit was (1+x)dx where dx = 3, therefore 3(1+x)???

- Nov 18th 2012, 03:13 PMsimba412Re: Upper and Lower Limits of interval for Riemann's Sum
oh wait... (1 + (3-0))3 = 12?

- Nov 18th 2012, 03:33 PMskeeterRe: Upper and Lower Limits of interval for Riemann's Sum
...

- Nov 18th 2012, 03:46 PMsimba412Re: Upper and Lower Limits of interval for Riemann's Sum
thanks for the graph. i think i got it! the lower limit represents, in this case, the area of the red rectange. the upper limit represents the the area of the triangle + rectange multiplied by 2 since we take the upper value of x therefore = 4x3 = 12