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For each integral, find the second derivative of the integrand, then find an upper bound on the absolute value of this derivative; use this and
For each integral, find the second derivative of the integrand, then find an upper bound on the absolute value of this derivative; use this and the theoretical error bound to determine how large n should be.
What is the smallest value of n so that the midpoint rule approximation of integral (underbound: 1 upperbound: 4) (1/x) dx is guaranteed to be accurate to within 10^(-3) ?
I have no idea how to approach this problem to solve. Also, I cannot understand the first paragraph.
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