Simpson’s rules were named after British mathematician Simpson (1710–1761) whose first name was

When performing a history and a physical examination regarding a female patient’s genitalia the nurse practitioner should be aware of cancer-related risk factors. A 38-year-old patient who had 4 full-term pregnancies, has used oral contraceptives for >5 years, and smokes would be at risk for which type of cancer?

If we have to integrate discrete points that are UNEVENLY spaced, we know we can ALWAYS use:

An 18-year-old patient presents to the urgent care clinic complaining of testicular swelling. The patient states that they are sexually active with multiple partners. Additionally, the patient states that the pain started and has worsened over the course of a few days. The patient has had dysuria and a 101oF for 2 days. The most correct diagnosis for these symptoms is:

Simpson’s 1/3 rule approximates the integrand with a second-order polynomial, and when calculating its error, the integral of the remainder of the “modified” second-order Taylor series is zero, which indicates that the rule is exact

When performing a history and a physical examination regarding a female patient’s genitalia the nurse practitioner should be aware of cancer-related risk factors. A 38-year-old patient who had 4 full-term pregnancies, has used oral contraceptives for >5 years, and smokes would be at risk for which type of cancer?

If we have to integrate discrete points that are UNEVENLY spaced, we know we can ALWAYS use:

An 18-year-old patient presents to the urgent care clinic complaining of testicular swelling. The patient states that they are sexually active with multiple partners. Additionally, the patient states that the pain started and has worsened over the course of a few days. The patient has had dysuria and a 101oF for 2 days. The most correct diagnosis for these symptoms is:

Simpson’s 3/8 rule is more accurate than expected.

Simpson’s 1/3 rule approximates the integrand with a second-order polynomial, and when calculating its error, the integral of the remainder of the “modified” second-order Taylor series is zero, which indicates that the rule is exact