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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?

The answer: 160

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?

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