

Integration Techniques and Applications
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is u-substitution not suitable for solving the given integral?
Because it is not applicable to exponential functions
Because it does not eliminate the extra factor of x
Because it results in a complex expression
Because it requires a different substitution
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is chosen as u in the integration by parts method?
e to the power of negative 2x
The entire integrand
8x
Negative 2x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of u when u is set to 8x?
e to the power of negative 2x
8 dx
8x
8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used to integrate dv?
u = 8x
u = negative 2x
u = x
u = e to the power of negative 2x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for v after integrating dv?
8x e to the power of negative 2x
Negative one half e to the power of negative 2x
Negative 2x e to the power of negative 2x
e to the power of negative 2x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of u times v in the integration by parts formula?
4x e to the power of negative 2x
Negative 2x e to the power of negative 2x
8x e to the power of negative 2x
Negative 4x e to the power of negative 2x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the integral of v du simplified in the integration by parts formula?
By adding a constant
By performing another integration by parts
By recognizing it as a simpler integral
By using a different substitution
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