Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 11/Hint 1

Recall the error estimate formula for Simpson's Rule

$${\begin{aligned}|I-S_{n}|\leq {\frac {L}{180}}{\frac {(b-a)^{5}}{n^{4}}},\end{aligned}}$$

where $n$ must be an even number. Using this formula, we can set up an inequality to ensure the error is within the specified tolerance and solve for $n$.