What is the first step in recognizing a binomial expression raised to a power?
How to apply u substitution to find the antiderivative of a rational expression

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Recognize the substitution variable U
Determine the constant of integration
Identify the derivative of the expression
Rewrite the expression in terms of natural logarithms
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't the natural logarithm method be used for integrating 1/U^5 DU?
Because U is not a polynomial
Because it is not in the form 1/U
Because the power of U is too high
Because the derivative of U is not constant
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the expression 1/U^5 DU rewritten for integration?
As a constant times U
As a natural logarithm of U
As U to the negative 5th
As U to the power of 5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating U to the negative 5th?
U to the negative 4th divided by -4 plus C
U to the 5th divided by 5 plus C
U squared divided by 2 plus C
Natural log of U plus C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you remember when encountering a division in integration?
Always use the natural logarithm method
Apply the same technique as for multiplication
Do not get confused by new techniques
Use a different substitution variable
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