Question

Evaluate loc* dx by simpson's 3/8" rule, given that e = 2.72, e? = 7.39, e' = 20.09, e* = 54.6
68.9
70.6
42:35
52.42​

Answer 1

Explanation:

Simpson’s rule is one of the numerical methods which is used to evaluate the definite integral. Usually, to find the definite integral, we use the fundamental theorem of calculus, where we have to apply the antiderivative techniques of integration. But sometimes it is difficult to find the antiderivative of an integral, like in the case of Scientific Experiments, where the function has to be determined from the observed readings. Therefore, the numerical methods are used to approximate the integral in such conditions. Other numerical methods used are trapezoidal rule, midpoint rule, left or right approximation using Riemann sums. Here, we are going to discuss Simpson’s rule formula, 1/3 rule, 3/8 rule, and examples.