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

When completing a rectal examination on a patient, you may position your patient in a variety of ways. All of the following positions will allow for a thorough rectal examination except:

Numerical integration fundamentally relies on

The formula for the multiple-application version of Simpson 1/3 over n intervals can be obtained by using the single-application of the rule n times.

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

When completing a rectal examination on a patient, you may position your patient in a variety of ways. All of the following positions will allow for a thorough rectal examination except:

Numerical integration fundamentally relies on