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**The function f is continuous on the closed interval [2,8] and has va;ues that are given in the table below. Using sub intervals [2,5]. [5,7], and [7,8], what is the trapezoidal approximation of the anti derivative from 2 to 8 of f(x)dx?**

|x| |2|5|7|8|

f(x)| |10|30|40|20|

(a) 110 (b) 130 (c) 160 (d) 190 (e) 210

|x| |2|5|7|8|

f(x)| |10|30|40|20|

(a) 110 (b) 130 (c) 160 (d) 190 (e) 210

**trapezoid rule= anti derivative from a to b is f(x)dx=T**

_{n}= change of x/2*[f(x_{1}) + 2f(x_{2}) + ... + 2f(x_{n-1}) + f(x_{n})]**I tried using the formula and plugging the information in exluding the point at [7,40] because it doesn't have the same change in x as the other numbers. Although the equation doesn't specify what the interval count is but rather that I have to use all the intervals. Therefore I don't really know how to use the 3rd interval [7,40] in the problem.**