A table of values of an increasing function F is shown Use t

A table of values of an increasing function F is shown. Use the table to find to find lower and upper estimates for integral^30 _10 (x) dx.

Solution

function is increasing

x =4

lower estimate =x[f(10)+f(14)+f(18)+f(22)+f(26)]

lower estimate =4*[-12-6-2+1+3]

lower estimate =-64

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upper estimate =x[f(14)+f(18)+f(22)+f(26)+f(30)]

upper estimate =4*[-6-2+1+3+8]

upper estimate =16