Basic Rules of Integration
Presentation
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
CHRISTOPHER PLAZA
Used 32+ times
FREE Resource
20 Slides • 10 Questions
1
Basic Rules of Integration
2
Objectives
Explaining the concept of integration
Applying the basic properties of indefinite integrals and basic integration formulas
3
4
Multiple Choice
Identify the Integral notation symbol ∫f(x)dx
Indefinite Integral
Definite Integral
Integration
Differentiation
5
Multiple Choice
The process of finding dxdy=f′(x) is known as_____
Integration
Differentiation
Limitation
continuation
6
Multiple Choice
The reverse process of finding y=f(x) from dxdy=f′(x) is known as anti-Integration
True
False
7
Multiple Choice
An _______constant is a constant whose value has yet to be determined.
Indefinite
Definite
Integration
arbitrary
8
Multiple Choice
Indicates the variable with respect to which anti-differentiation is performed.
dx
ex
f(x)
g(x)
9
Multiple Choice
∫f(x)dx is read as "the Indefinite Integral of f(x) with respect to x"
True
False
10
Antiderivative
A function F is called the antiderivative of the function f on an interval I if F′ (x)=f(x) for every value of x in I.
11
The expression F(x)+C is called the general antiderivative of f since it generalizes the family of antiderivatives of f.
12
Integration
the reverse process of differentiation
13
The Indefinite Integral
The process of finding all antiderivatives of f(x) is called antidifferentiation. The other term used for this process is integration, and we also call an antiderivative an integral of f.
14
The symbol ∫, called the integral sign, is used to denote the integral of a function. The integral of f(x) can be written as:
∫f(x)dx=F(x)+C
15
This is called an indefinite integral.
16
Basic Integration Rules
the basic formula for integration can be derived from the differentiation formulas.
Let us introduce some of the basic formulas
17
The Indefinite Integral of a Constant
Example:
18
Multiple Choice
What is the ∫37dx ?
7x + C
3x + C
73x+C
37x+C
19
The Power Rule
20
Multiple Choice
What is the ∫x6dx?
7x + C
7x7
7x7+C
7x7−C
21
Multiple Choice
What is the ∫x32dx?
53x3x2+C
35x3x2+C
353x5+C
533x5+C
22
The Indefinite integral of the Function x-1
23
Multiple Choice
What is the ∫ x−5dx?
5ln∣x∣+C
−ln∣x∣+C
−5ln∣x∣+C
-5ln
24
The Indefinite Integral of The Exponential Function
25
The Indefinite integral of a Constant Multiple of a Function
26
Sum and Difference rule
27
28
29
30
Basic Rules of Integration
Show answer
Auto Play
Slide 1 / 30
SLIDE
Similar Resources on Wayground
21 questions
Logarithms and Exponentials
Presentation
•
10th - 12th Grade
21 questions
Introduction to Trigonometry
Presentation
•
10th Grade
24 questions
2-13 Solving Systems of Linear Inequalities
Presentation
•
11th Grade
21 questions
Best Method: Solving Systems of Equations
Presentation
•
7th - 10th Grade
25 questions
Probability of Simple Events
Presentation
•
11th - 12th Grade
21 questions
Triangle Sum/Exterior Angle Theorem
Presentation
•
10th - 11th Grade
19 questions
Graphing Sine and Cosine
Presentation
•
11th Grade
22 questions
Chapter 1 Statistics and Probability
Presentation
•
11th Grade
Popular Resources on Wayground
24 questions
PBIS-HGMS Day 10
Quiz
•
6th - 8th Grade
10 questions
HCS SCI 03 Summer School Review 3
Quiz
•
3rd Grade
11 questions
Home Scope
Quiz
•
7th - 8th Grade
15 questions
HCS SCI 05 Summer School Assessment 3 Review
Quiz
•
5th Grade
35 questions
Lufkin Road Middle School Student Handbook & Policies Assessment
Quiz
•
7th Grade
18 questions
Geo 11.3 Area of Circles and Sectors
Quiz
•
9th - 11th Grade