# Calculus

posted by .

The function f is continuous on the closed interval [1,7] and has values in the table below

x f(x)
1 10
4 30
6 40
7 20

Usinf the subintervals [1,4] [4,6] [6,7] what is the trapezoidal apporx. of the integral from 1 to 7 of f(x)dx?

I tried doing each interval as separate integrals and then using TRAP and then adding them but I got 180. How do I get the right answer?

## Similar Questions

1. ### Calculus

I am doing the AP calculus review, these are the questions I have no Idea on how to do: 1. if 0<= k <=pi/2 and the area under the curve y-cosx from x=k to x=pi/2 is 0.2, then k= 2. let F(x) be an antiderivative of (ln x)^4/x …

Approximate the area under each curve over the specified interval by using the indicated number of subintervals and evaluating the function at the right-hand endpoints of the subintervals. 1. f(x)=9-x^2 from x=1 to x=3; 4 subintervals. …
3. ### Calculus

COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval?
4. ### Calculus IVT

The function f is continuous on the closed interval [0,6] and has values that are given in the table above. The equation f(x)=3 must have at least two solutions in the interval [0,6] if k= ?
5. ### Calculus

The function f(x)=(x^4)-(10x^3)+(18x^2)-8 is continuous on the closed interval (1,8). Find the absolute minimum and maximum values for the function on this interval. Please help me!!! And please show your work so that i understand!! …
6. ### calculus

The function f is continuous on the closed interval [0,2] and has values that are given in the table below x = 0| 1 | 2 ____________ f(x) = 1| k | 2 The equation f(x) = 1/2 must have at least two solutions in the interval [0,2] if …
7. ### calculus

The function f is continuous on the closed interval [0,6] and has values that are given in the table below. x |0|2|4|6 f(x)|4|K|8|12 The trapezoidal approximation for(the integral): 6 S f(x) dx 1 found with 3 subintervals of equal …
8. ### math

let fbe a function that is even and continuous on the closed interval [0,3]. the function f and itsderivatives have the properties indicated in the table below. sketch the graph. x 0 0<x<1 1 1<x<2 2 2<x<3 f(x) 1 (+) …
9. ### calculus

The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of . x 1 1.1 1.2 1.5 1.7 1.9 2.0 f(x) 1 3 4 6 7 8 10