2) Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of (10)∫(1) f(x)dx

x 1 3 4 6 7 9 10
f(x) 4 8 6 10 10 12 16

1 answer

you have the values. Just compute the area of the kth trapezoid using
ak = (f(xk)+f(xk+1))/2 * (xk+1-xk) for k=1..6

For example, a1 = (4+8)/2 * (3-1) = 12
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