
Definite Integrals and Properties

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard

Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the given value of the definite integral from -1 to 3 of f(x) dx?
0
-2
5
3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the given value of the definite integral from -1 to 3 of g(x) dx?
-2
5
3
0
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which property allows us to split the integral of a sum or difference into separate integrals?
Substitution Rule
Power Rule
Sum/Difference Rule
Constant Multiple Rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the integral from -1 to 3 of 3f(x) - 2g(x) dx be split using the integration property?
Integral from -1 to 3 of 3f(x) dx + Integral from -1 to 3 of 2g(x) dx
Integral from -1 to 3 of 3f(x) dx - Integral from -1 to 3 of 2g(x) dx
Integral from -1 to 3 of f(x) dx - Integral from -1 to 3 of g(x) dx
Integral from -1 to 3 of f(x) dx + Integral from -1 to 3 of g(x) dx
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the property of taking constants outside the integral state?
The constant can be multiplied after integration.
The constant must be integrated separately.
The integral of a constant is zero.
The constant can be factored out of the integral.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the integral from -1 to 3 of 3f(x) dx rewritten using the constant property?
3 plus the integral from -1 to 3 of f(x) dx
Integral from -1 to 3 of 3f(x) dx
Integral from -1 to 3 of f(x) dx divided by 3
3 times the integral from -1 to 3 of f(x) dx
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 3 times the integral from -1 to 3 of f(x) dx?
2
-2
6
-6
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