
Understanding Integration and U-Substitution

Interactive Video
•
Mathematics
•
11th Grade - University
•
Hard
Standards-aligned

Ethan Morris
FREE Resource
Standards-aligned
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5 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the integral problem presented in the video?
Performing U-substitution
Factoring out constants
Applying the power-reducing formula
Differentiating the function
Tags
CCSS.HSF.TF.B.7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In U-substitution, what is the expression for U in terms of x?
U = 9x^6
U = 6x^5
U = x^6
U = x^5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using the power-reducing formula in this context?
To simplify the integral of cosine squared terms
To differentiate the function
To factor out constants
To eliminate the need for substitution
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When integrating cosine 2U, what substitution is used?
V = U/2
U = 2V
V = 2U
U = V/2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the anti-derivative expressed in terms of x?
3/4 * x^5 + 3/8 * sin(2x^5) + C
3/4 * x^5 + 3/8 * cos(2x^5) + C
3/4 * x^6 + 3/8 * sin(2x^6) + C
3/4 * x^6 + 3/8 * cos(2x^6) + C
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