
Calculating Areas Using Integration

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two main areas of interest identified in the problem?
A valley and a hill
A valley and a molehill
A mountain and a molehill
A river and a valley
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many boundaries are used to define area A1?
Two
Three
Five
Four
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-intercept used in calculating area A1?
-1
2
1
0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral used to calculate area A1?
Integral from -1 to 1 of x^3 + 1 dx
Integral from 0 to 2 of x^3 + 1 dx
Integral from 0 to 1 of x^3 + 1 dx
Integral from -1 to 0 of x^3 + 1 dx
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does dx represent in the context of calculating area A2?
A diagonal width
A circular width
A horizontal width
A vertical width
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-value that corresponds to the upper bound for calculating area A2?
4
1
2
3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the difference between the integral and the rectangle in calculating area A2?
The integral is larger
The rectangle is larger
The integral is smaller
The rectangle is smaller
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