Understanding Integrals and Symmetry
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Nancy Jackson
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of 9 - x^2?
9x - x^3/3
9x + x^3/3
9x + x^2/2
9x - x^2/2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the integral of 9 - x^2 from 0 to 3?
9
18
27
36
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can symmetry help in calculating the integral from -3 to 3 of an even function?
By halving the integral from 0 to 3
By doubling the integral from 0 to 3
By calculating only the positive side
By ignoring the negative side
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of an odd function from -a to a?
Always positive
Depends on the function
Always negative
Always zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of 4x - x^3 from 0 to 2?
2
4
6
8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of cosine from -π/2 to π/2?
0
1
2
π
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of cosine from 0 to π/2?
2
1
0
π
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