
Integration by Substitution Concepts

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Mia Campbell
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is integration by substitution used?
To simplify integrals that fit basic formulas
To evaluate integrals that do not fit basic formulas
To differentiate complex functions
To solve algebraic equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in the substitution process?
Compute the differential
Integrate in terms of the new variable
Rewrite the integral
Choose a substitution
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of computing the differential in substitution?
To differentiate the function
To find the anti-derivative
To check the answer
To match it with part of the original integral
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After rewriting the integral in terms of the new variable, what is the next step?
Choose a new substitution
Integrate in terms of the new variable
Check the answer by differentiating
Compute the differential
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example problem, what was chosen as the substitution 'u'?
X to the 7th
4X cubed
X to the 4th - 1
X to the 4th
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step after integrating in terms of 'u'?
Rewrite the result in terms of x
Check the answer by differentiating
Choose a new substitution
Compute the differential
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What was the anti-derivative obtained in the example problem?
X to the 4th - 1
U to the 8th divided by 8 + C
4X cubed DX
1/8 x (X to the 4th - 1) raised to the 8th + C
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