
Integration Techniques and Concepts
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Standards-aligned
Ethan Morris
FREE Resource
Standards-aligned
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9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral we are trying to find in this tutorial?
Integral of 16 divided by x squared + 7
Integral of x squared divided by 7 + 16
Integral of 16 divided by 7 + x squared
Integral of 7 divided by 16 + x squared
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to recognize the correct formula for integration?
To simplify the problem
To avoid using a calculator
To ensure the integrand is in the correct form
To find the derivative instead
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the constant 16 rewritten in the integrand?
As 16 squared
As 2 squared
As 8 squared
As 4 squared
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of factoring out the 7 in the integrand?
To make the equation longer
To change the variable
To match the integration formula
To eliminate the constant
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What form should the denominator be in to apply the integration formula?
a squared + u squared
u squared + a
a squared - u squared
u squared - a squared
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'a' in the integration formula?
4
16
x
7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final expression for the anti-derivative function?
7/4 arctangent x divided by 4 + C
4/7 arctangent x divided by 7 + C
7/4 arctangent x divided by 7 + C
4/7 arctangent x divided by 4 + C
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