Textbook ExpertVerified Tutor
5 Dec 2021
Given information
The given function is
Step-by-step explanation
Step 1.
(
) Find the value of
in order to guarantee that the Trapezoidal and Midpoint rule approximations for the given integral are accurate to within
Accuracy to within
means that the size of the error should be less than
Consider the result
for
so we can take
Therefore we choose
so that
Thus,
will ensure the desired accuracy