
Understanding the Method of Substitution in Integration

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Olivia Brooks
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in using the method of substitution for integration?
Choose a function to differentiate.
Find the antiderivative directly.
Select a part of the integrand to substitute.
Determine the limits of integration.
Tags
CCSS.HSF-BF.B.4A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can the absolute value of x be ignored in this integration problem?
Because the function is even.
Because the derivative is constant.
Because the limits of integration are both positive.
Because x is always negative.
Tags
CCSS.HSF-BF.B.4A
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inverse secant function?
x times the square root of x squared minus 1
x divided by the square root of x squared minus 1
1 divided by the product of x and the square root of x squared minus 1
1 divided by the square root of x squared minus 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you adjust the differential to match the integrand?
Divide both sides by 2
Multiply both sides by 2
Add a constant to both sides
Subtract a constant from both sides
Tags
CCSS.HSF.TF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the new lower limit of integration when x equals the square root of 2?
pi divided by 6
pi divided by 4
pi divided by 3
pi divided by 2
Tags
CCSS.HSF.TF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cosine function value when the secant function value is 2?
1/2
1
Square root of 2
2
Tags
CCSS.HSA.APR.D.7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of 2u with respect to u?
2u cubed
u squared
2u squared
u cubed
Tags
CCSS.HSA.APR.D.7
Create a free account and access millions of resources
Similar Resources on Wayground
10 questions
Integral of Sine Cube X

Interactive video
•
9th - 12th Grade
11 questions
Antiderivatives and Integration Concepts

Interactive video
•
10th - 12th Grade
9 questions
Integrating and Differentiating Secant Functions

Interactive video
•
9th - 12th Grade
11 questions
Indefinite Integrals and U-Substitution

Interactive video
•
10th - 12th Grade
6 questions
Integration by Parts Concepts

Interactive video
•
10th - 12th Grade
11 questions
U-Substitution in Definite Integrals

Interactive video
•
10th - 12th Grade
11 questions
Integration Techniques and Applications

Interactive video
•
11th Grade - University
9 questions
Integral Substitution Techniques

Interactive video
•
10th - 12th Grade
Popular Resources on Wayground
10 questions
Lab Safety Procedures and Guidelines

Interactive video
•
6th - 10th Grade
10 questions
Nouns, nouns, nouns

Quiz
•
3rd Grade
10 questions
9/11 Experience and Reflections

Interactive video
•
10th - 12th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
11 questions
All about me

Quiz
•
Professional Development
22 questions
Adding Integers

Quiz
•
6th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
9 questions
Tips & Tricks

Lesson
•
6th - 8th Grade
Discover more resources for Mathematics
16 questions
Segment Addition Postulate

Quiz
•
10th Grade
20 questions
Parallel Lines and Transversals Independent Practice

Quiz
•
10th Grade
16 questions
Parallel Lines cut by a Transversal

Quiz
•
10th Grade
20 questions
Solving Multi-Step Equations

Quiz
•
10th Grade
20 questions
Midpoint and Distance

Quiz
•
10th Grade
12 questions
Conditional Statement Practice

Quiz
•
10th Grade
20 questions
Multi-Step Equations and Variables on Both Sides

Quiz
•
9th - 12th Grade
17 questions
Parallel lines cut by a transversal

Quiz
•
10th Grade