
Understanding Integration by Substitution

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary reason for using the method of substitution in integration?
To make the integral more complex
To fit the integral into a basic formula
To simplify the integral
To change the variable of integration
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When choosing 'u' in substitution, what should it resemble?
The entire integrand
The variable of integration
A part of the integrand whose derivative is present elsewhere in the integrand
A constant factor
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied to find the derivative of 'u' when 'u' is a composite function?
Chain rule
Product rule
Power rule
Quotient rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the given example, what is chosen as 'u'?
sin(e^3x)
5
e^3x
3x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of dividing both sides of the equation by 3 in the substitution process?
To convert the integral into a definite integral
To eliminate the factor of 3
To simplify the differential equation
To adjust the limits of integration
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After substitution, what does the integrand function become?
e^u
tan(u)
sin(u)
cos(u)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of sin(u) with respect to u?
-sin(u) + C
sin(u) + C
-cos(u) + C
cos(u) + C
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