This is wrong, and I kinda understand why it's wrong, if x started at 0 this would be right, but because it starts at 5, the f(x) should be different numbers (if that makes sense), my problem is not knowing the proper calculations to figure that out.
In my book the formula is this:
Which is extremely confusing to me.
Please help with this problem. Thank You
Jul 10th 2010, 09:58 AM
break the interval from x = 5 to x = 9 into 4 pieces ... each piece has delta x = 1
the midpoint of each piece is x = 5.5, x = 6.5, x = 7.5, and x = 8.5
using a midpoint Riemann sum ...
Jul 10th 2010, 10:05 AM
Yes that is the correct answer, Thank you Skeeter!
but I still don't understand how you came up with the numbers for the functions. Can you break it down to the formula for me? because I have to really understand how to do this before I move on.
Thanks again Skeeter.
Jul 10th 2010, 10:51 AM
look at the attached sketch and note that the height of each rectangle is the function value at the midpoint of each sub-interval ...
area of each rectangle = base * height = (1) * f(midpoint of the sub-interval)
Jul 10th 2010, 11:38 AM
Ohhh OK, I think I understand the midpoint a little more now.