Question

Trapezoidal Sum - Can someone double check my solutions?

Answer 1

sorry trying to upload my image

Answer 2

approximate 0 to 25 f(x) dx using a trapezoidal sum and three subintervals

Answer 3

table given is
x values 0, 4, 7, 12, 15, 20, 25
y values are 15, 6, -5, -10,-2, 8, 20

Answer 4

I got 97

Answer 5

(1/2)(15-5)7+(1/2)(-5-2)8+(1/2)(-2+20)10

Answer 6

sorry I am using an IPAD not sure how to upload an image. Layout is a little different on my ipad compared to my computer

Answer 7

I guess I will plot it out on graph paper, just to make sure I am correct

Answer 8

yes, it is right... and sorry for my stupid first reply that I wrote...

Answer 9

Thanks. I was doubting myself because my midpoint sum of the same values and intervals was 42. But I do realize that the trapezoidal sum is the most accurate of them all

Answer 10

the midpoint is an under estimation compared to the trapezoid

Answer 11

yeah, but the most precise one is integration. (Which is only possible when the function is given, not with just a table of values)

Answer 12

Very true, unfortunately I only have the table of values and no function can be assumed.

Answer 13

yeah...

Answer 14

Thanks for your help. I do appreciate it