
Calculating Area Between Curves

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the endpoints of the region where the curves y = √x and y = x² intersect?
x = -1 and x = 2
x = 0 and x = 1
x = -1 and x = 1
x = 0 and x = 2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which integral represents the area under the curve y = √x from 0 to 1?
∫ from 0 to 1 of x dx
∫ from 0 to 1 of √x dx
∫ from 0 to 1 of x² dx
∫ from 0 to 1 of 1/x dx
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the area between the curves y = √x and y = x² be conceptualized?
As the integral of the difference between the two functions
As the product of the areas under both curves
As the integral of the sum of the two functions
As the sum of the areas under both curves
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of √x?
x^3 / 3
x^(3/2) / (3/2)
x^(1/2) / (1/2)
x^2 / 2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of x²?
x^2 / 2
x^(1/2) / (1/2)
x^(3/2) / (3/2)
x^3 / 3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the integral of √x from 0 to 1?
3/2
1/3
2/3
1/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the integral of x² from 0 to 1?
3/2
1/3
2/3
1/2
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