

Antiderivatives and Integration Techniques
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
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 main goal when determining an indefinite integral?
To evaluate a definite integral
To find the family of functions whose derivative is the given function
To find the derivative of a function
To solve a differential equation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is u-substitution not applicable in this problem?
The limits of integration are not defined
The function is not continuous
The differential does not match the remaining part of the integral
The integrand is already in its simplest form
Tags
CCSS.HSA.APR.C.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in simplifying the expression for integration?
Use partial fraction decomposition
Apply the power rule
Multiply out the binomials
Perform integration by parts
Tags
CCSS.HSA.APR.C.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After multiplying the binomials, what is the next step?
Perform a change of variables
Combine like terms
Apply the chain rule
Use trigonometric identities
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the power rule of integration used for?
To differentiate a function
To find the limit of a function
To integrate a polynomial function
To solve a system of equations
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the first term of the antiderivative simplified?
By applying the product rule
By using the chain rule
By factoring out a common factor
By dividing by the new exponent
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the second term in the antiderivative?
70/6 x^5
1/2 x^10
35/3 x^6
245/2 x^2
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