Question

Determination and comparison of areas bounded by a known curve by definite integral and by dividing the total enclosed area into given number of small trapeziums of the project

Answer 1

Step-by-step explanation:

Integration - The Trapezium Rule / Trapezoidal Rule or Trapezoid Rule

The area between a function and the x-axis can be calculated by integration provided that the function in question can be integrated by known techniques. Sometimes we come across functions which cannot be integrated, though. In such situations, we use the Trapezium Rule to deal with it. The Trapezium Rule never gives the exact area, but an approximate value of the area.

The technique involves the division of the area into a finite number of steps of equal width. If the width is narrow enough, each strip can be treated as a trapezium.

Trapezium Rule General

Answer 2

Integration - The Trapezium Rule/Trapezoidal Rule or Trapezoid Rule  

• The territory between a capacity and the x-hub can be determined by coordination given that the capacity being referred to can be incorporated by known procedures.
• Once in a while we run over capacities which can't be coordinated, however. In such circumstances, we utilize the Trapezium Rule to manage it.
• The Trapezium Rule never gives the specific zone, yet an inexact estimation of the region.  
• The method includes the division of the region into a limited number of steps of equivalent width. On the off chance that the width is sufficiently restricted, each strip can be treated as a trapezium.