
Understanding U-Substitution in Integration

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

Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of using u-substitution in integration?
To simplify the integrand by changing variables
To differentiate the function
To solve differential equations
To find the limit of the function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the expression chosen for 'u'?
10x^4 + 6
x^5 + 3x - 1
2x + 7
5x^4 + 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 'u' in the first example?
2x + 7
5x^4 + 3
x^5 + 3x - 1
10x^4 + 6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the integral in terms of 'u' for the first example?
1/5 * (x^5 + 3x - 1)^5 + C
2/7 * (x^5 + 3x - 1)^7 + C
3/4 * (2x + 7)^4 + C
1/6 * (2x + 7)^6 + C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of factoring out constants in the integration process?
To make the integral more complex
To differentiate the function
To simplify the integration process
To change the limits of integration
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the expression chosen for 'u'?
2x + 7
x^5 + 3x - 1
10x^4 + 6
5x^4 + 3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 'u' in the second example?
5x^4 + 3
x^5 + 3x - 1
2
10x^4 + 6
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