
Integration Techniques and Concepts

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is x often chosen as u in integration by parts?
Because it is always the first term
Because it simplifies to 1 when differentiated
Because it is a constant
Because it is easy to integrate
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in applying the integration by parts formula?
Reading down the column for uv
Subtracting the integral of vdu
Differentiating dv
Integrating u
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example discussed, what is the integral of x e^x?
x e^x - x
x e^x + e^x
x e^x - e^x
x e^x + x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of reading down the left-hand column in integration by parts?
To identify the integral
To determine uv
To check for errors
To find the derivative
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the benefit of solving integration problems without a grid?
It requires less writing
It is more accurate
It helps visualize the process
It is faster
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When selecting u as x squared, what is the derivative du/dx?
2x
x^2
x
1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating x squared e^x using integration by parts?
x^2 e^x + 2e^x
x^2 e^x - 2e^x
x^2 e^x + 2x e^x
x^2 e^x - 2x e^x
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