
Definite Integrals of Vector-Valued Functions

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

Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in evaluating the definite integral of a vector-valued function?
Add a constant to each component
Multiply each component by a constant
Integrate each component separately
Differentiate each component
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the integration of the X component, what substitution is used?
U = T + 1
U = 2T
U = T^2
U = 1/T
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating the X component from 1 to 3?
2 natural log 2
2 natural log 4
2 natural log 1
2 natural log 3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used for the Y component integration?
U = 3T
U = T^3
U = 2T
U = T + 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common factor in the Y component's final expression?
2/3 e^1
2/3 e^6
2/3 e^9
2/3 e^3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the Z component, what is the base of the rational exponent used in the substitution?
T - 1
T^4
4T + 1
4T - 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exponent used in the Z component's integration?
1/2
1/3
2/3
3/4
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