
Understanding Indefinite Integrals and U-Substitution

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
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 solving the indefinite integral of 4x times 5 raised to the x squared?
Find the derivative of 4x
Identify the base and exponent
Use u-substitution
Apply the power rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to integrate a constant raised to a variable?
a^u divided by u prime times ln a
a^u times u prime
a^u plus the constant of integration
a^u times ln a
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of integrating 3 raised to the 7x, what is the value of u prime?
3
7
21
1
Tags
CCSS.6.EE.A.2B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the base in the expression 9 raised to the 4x plus 5?
5
4
9
x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made for u in the original problem of 4x times 5 raised to the x squared?
u = 5
u = x squared
u = 4x
u = x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you verify the solution to an indefinite integral?
By checking the constant of integration
By taking the derivative
By solving a similar problem
By integrating again
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the practice problem, what is the derivative of x cubed?
x cubed
3x
x squared
3x squared
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