
Understanding Antiderivatives and Integration

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 initial condition given for the antiderivative F(x)?
F(0) = 0
F(1) = 1
F(1) = 0
F(0) = 1
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the function 5/x^3 rewritten using negative exponents?
5x^3
5/x^3
5x^-3
5x^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rewritten form of 2/x^6 using negative exponents?
2/x^6
2x^5
2x^-6
2x^6
Tags
CCSS.7.EE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied to integrate functions with negative exponents?
Product Rule
Chain Rule
Power Rule
Quotient Rule
Tags
CCSS.7.EE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating 2x^-6?
2x^-5/6
2x^-5/5
-2x^-5/5
-2x^-5/6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the term 5x^-2 after integration?
5/2x^2
5x^2/2
-5/2x^2
-5x^2/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general form of the antiderivative F(x) before determining C?
-5/2x^2 - 2/5x^5 + C
5/2x^2 - 2/5x^5 + C
-5/2x^2 + 2/5x^5 + C
5/2x^2 + 2/5x^5 + C
Tags
CCSS.8.EE.C.7B
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