Numerical Differentiation and Integration

Question 1

are the most common numerical integration schemes. They are based on the strategy of replacing a complicated function or tabulated data with an approximating function that is easy to integrate

Answer 1

Newton-Cotes Formula

Question 2

Are those where the data at the beginning and end of the limits are known

Answer 2

Closed form

Question 3

Have integration limits that are beyond the range of the data

Answer 3

Open form

Question 4

Most widely-used newton-Cotes formulas

Answer 4

trapezoidal rule
Simpson’s 1/3 rule
Simpson’s 3/8 rule

Question 5

A noncomputer method for determining derivatives from data

Answer 5

equal area graphical differentiation

Question 6

numerical integration or?

Answer 6

quadrature