

Evaluating Integrals and Derivatives
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Standards-aligned
Mia Campbell
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 determining the definite integral of a vector-valued function?
Integrate each component separately
Differentiate each component separately
Use the chain rule for integration
Integrate the entire function as a whole
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what substitution is used for the integral of e^(4T)?
U = 4T
U = T + 1
U = T^2
U = e^(4T)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating the component with the square root in the first example?
2/3 * (t + 1)^(3/2)
1/4 * e^(4T)
1/3 * (t + 1)^(1/2)
3/2 * (t + 1)^2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the substitution for the integral involving sin(T)?
U = T^2
U = sin(T)
U = cos(T)
U = e^(T)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the anti-derivative of sin^2(T) in the second example?
T^3/3
2T
cos^3(T)/3
sin^3(T)/3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the integral of 2 with respect to T represented in the second example?
2T^2
T/2
2T
T^2
Tags
CCSS.HSF.TF.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the integral of sin(T) from 0 to pi/2?
1
pi
1/3
0
Tags
CCSS.HSF.TF.A.2
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