NUMERICAL INTERGRATION (QUADRATURES)

Question 1

“to bring together, as parts, into a whole; to unite; to indicate the
total amount”.

Answer 1

Integration

Question 2

Mathematically, integration is represented by the ______________

Answer 2

definite integral

Question 3

is defined informally as the signed area of the region in the xy-plane that is bounded by the graph of f, the x-axis and the vertical lines x = a and x = b.

Answer 3

definite integral

Question 4

Calculating these definite integrals numerically is called ______________________, ________________________, or more simply _________.

Answer 4

numerical integration, numerical quadrature

quadrature

Question 5

due the use of quadriateral
(rectangular or trapezoidal) strips to approximate the value of the definite integral

Answer 5

“Quadrature”

Question 6

computes an approximation to a definite integral, made by finding the area of a collection of rectangles whose heights are determined by the values of the function.

Answer 6

RECTANGULAR OR MIDPOINT RULE

Question 7

is a method slightly similar to midpoint rule but it uses trapezoids instead of rectangles.

Answer 7

TRAPEZOIDAL RULE

Question 8

uses the same tabulation of trapezoidal rule but instead of trapezoids it uses parabolas.

Answer 8

SIMPSON’S 𝟏/𝟑 RULE

Question 9

Also know as Legendre-Gauss Quadrature.

Answer 9

GAUSS QUADRATURE APPROXIMATION METHOD