Trapezium Rule: Introduction
About the Lecture
The lecture Trapezium Rule: Introduction by Batool Akmal is from the course Basic Integration.
Included Quiz Questions
What is the number of strips (trapeziums) if the number of ordinates is 6 ?
- 5
- 6
- 7
- 4
- 12
What is the formula of area of trapezium when length of the parallel sides are a, b and the distance between them is h?
- Area = (1/2) (a + b).h
- Area = (1/2) |a - b|.h
- Area = (2h) (a + b)
- Area = (2h) |a - b|
- Area = h(a + b)
What is the general formula of approximate area under the curve by trapezium rule if the total number of ordinates is a+1?
- (h/2) [y₀ + yₐ +2(y₁ + y₂ +....+yₐ₋₁)]
- (h/2) [y₀ + yₐ + (y₁ + y₂ +....+ yₐ₋₁)]
- (h/2) [y₀ - yₐ +2 (y₁ + y₂ +....+ yₐ₋₁)]
- (h/2) [y₀ + yₐ +4 (y₁ + y₂ +....+ yₐ₋₁)]
- (h) [y₀ + yₐ +2(y₁ + y₂ +....+ yₐ₋₁)]
What does the approximation accuracy of area, using the trapezium rule, depend on, assuming there are a+1 ordinates?
- h
- y₀
- y₁
- yₐ
- xₐ
What is the name of the inverse process of integration?
- Differentiation
- Integration by parts
- Trapezium rule
- Topology
- Inverse function
What is the name of inverse process of differentiation?
- Integration
- Complex differentiation
- Inverse function
- Trapezium rule
- Second differentiation
In the trapezium rule (formula), the value of h depends on which of the following?
- Number of trapeziums (strips)
- Type of function
- Number of times differentiated
- Area under the curve
- It is a fixed number
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Author of lecture Trapezium Rule: Introduction
Batool Akmal
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useful for A-level maths, helps with exams and understanding the concepts of integration
