What is the degree of the denominator in the given integrand?
Anti-Derivatives and Integration Techniques
Interactive Video
•
Aiden Montgomery
•
Mathematics
•
11th Grade - University
•
Hard
The video tutorial explains how to evaluate integrals and determine anti-derivatives using substitution and factorization techniques. It begins with an introduction to integration, followed by a detailed explanation of using substitution to simplify integrals. The tutorial then covers factorizing the numerator and splitting integrals for easier evaluation. Completing the square is used to transform the integral form, and the video concludes with evaluating integrals using substitution and arc tangent, leading to the final anti-derivative solution.
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Degree 1
Degree 2
Degree 3
Degree 4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is substitution a good strategy for this integral?
Because the numerator and denominator are of the same degree
Because the denominator is a higher degree than the numerator
Because the numerator is a constant
Because the numerator is a higher degree than the denominator
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What factor is common in the numerator that helps in substitution?
Factor of 2
Factor of 3
Factor of 4
Factor of 5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of completing the square in this context?
To eliminate the constant term
To factor the numerator
To change the form of the denominator
To simplify the numerator
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'a' when rewriting the denominator in the form a^2 + u^2?
4
3
2
1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the anti-derivative of 1/u with respect to u?
ln|u|
1/u
e^u
u^2/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What function is involved in the anti-derivative of the second integral?
Exponential
Cosine
Arc tangent
Sine
Explore all questions with a free account
Microsoft
Apple
Others
Similar Resources on Quizizz
11 questions
Indefinite Integrals and Substitution
Interactive video
•
11th Grade - University
11 questions
Differential Equations and Integrals
Interactive video
•
10th - 12th Grade
11 questions
Understanding Improper Integrals and Trigonometric Substitution
Interactive video
•
11th Grade - University
11 questions
Integral Calculus Concepts and Techniques
Interactive video
•
11th Grade - University
8 questions
Learn how to evaluate the integral using rational exponential expression
Interactive video
•
11th Grade - University
11 questions
Integration Techniques and Antiderivatives
Interactive video
•
11th Grade - University
6 questions
Evaluating the integral with trig tangent
Interactive video
•
11th Grade - University
11 questions
Integration by Parts Concepts
Interactive video
•
11th Grade - University
Popular Resources on Quizizz
17 questions
CAASPP Math Practice 3rd
Quiz
•
3rd Grade
20 questions
math review
Quiz
•
4th Grade
21 questions
6th Grade Math CAASPP Practice
Quiz
•
6th Grade
13 questions
Cinco de mayo
Interactive video
•
6th - 8th Grade
20 questions
Reading Comprehension
Quiz
•
5th Grade
20 questions
Types of Credit
Quiz
•
9th - 12th Grade
10 questions
4th Grade Math CAASPP (part 1)
Quiz
•
4th Grade
45 questions
5th Grade CAASPP Math Review
Quiz
•
5th Grade
Discover more resources for Mathematics
5 questions
A.EO.1-4 Quizizz Day 1
Quiz
•
9th - 12th Grade
10 questions
Day 1 Independent Practice
Quiz
•
9th - 12th Grade
20 questions
TSI Math - 10 Day Curriculum Pre Test
Quiz
•
9th - 12th Grade
10 questions
Day 2 Independent Practice
Quiz
•
9th - 12th Grade
5 questions
G.RLT.1-3 Quizizz Day 1
Quiz
•
9th - 12th Grade
5 questions
A.EI.1-3 Quizizz Day 5
Quiz
•
9th - 12th Grade
20 questions
Multiplication and Division Facts
Quiz
•
3rd - 12th Grade
27 questions
Keystone 1 Practice test
Quiz
•
9th - 12th Grade