Keyword | CPC | PCC | Volume | Score |
---|---|---|---|---|

area of a trapezoid rule | 0.63 | 0.9 | 9351 | 69 |

What is Trapezoidal Rule? Trapezoidal Rule is an integration rule, in Calculus, that evaluates the area under the curves by dividing the total area into smaller trapezoids rather than using rectangles.

Let f (x) be a continuous function on the interval [a, b]. Now divide the intervals [a, b] into n equal subintervals with each of width, Then the Trapezoidal Rule formula for area approximating the definite integral [latex]\int_ {a}^ {b}f (x)dx [/latex] is given by:

The area of a trapezoid is the space contained within its perimeter. The grey space is the area of the trapezoid in the diagram below. The area, A, of a trapezoid is: where h is the height and b 1 and b 2 are the base lengths.

Go through the below given Trapezoidal Rule example. Approximate the area under the curve y = f (x) between x =0 and x=8 using Trapezoidal Rule with n = 4 subintervals. A function f (x) is given in the table of values. The Trapezoidal Rule formula for n= 4 subintervals is given as: Here the subinterval width Δx = 2.