
Integration by Substitution Concepts
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard

Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two approaches to integration by substitution?
Trigonometric substitution and partial fractions
Pattern recognition and change of variables
Integration by parts and partial fractions
Numerical integration and symbolic integration
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the change of variables method, what is the first step?
Find the anti-derivative
Differentiate the function
Choose a substitution U equal to G(x)
Calculate the integral
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When performing substitution, what should differential U match?
The original function
The derivative of G times DX
The anti-derivative
The integrand
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example provided, what is chosen as U?
x^2 + 1
x^3 + 2
x^4 + 2
x^5 + 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of dividing by a constant when the integrand does not match exactly?
To simplify the integral
To make the substitution match the integrand
To differentiate the function
To find the anti-derivative
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the anti-derivative of 1/U?
Natural log of U
U^3
U^2
1/U
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In definite integrals, what must be done after finding the anti-derivative?
Differentiate the result
Evaluate at the given limits
Find the derivative
Rewrite in terms of U
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