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Answer:
The value of n for (a) n=425. (b) n=0.
Step-by-step explanation:
Given integration is,
(a) For Trapezoidal Rule : Composite error is,
Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,
|
According to the question, we must choose n such that,
So we can take n=425.
(b) For Simpson 1/3 rule : Composite error is,
where,
In this problem , so that,
that is there exist no error. So n=0.