
Understanding Integration and Area Approximation

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

Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between integration and differentiation?
They are unrelated concepts.
They are inverse operations.
They are both used to find slopes.
They are both used to find areas.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which ancient civilization first explored the concept of integration?
Romans
Egyptians
Greeks
Chinese
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main challenge in finding the area under a curve?
Curves are not straight lines.
Curves have infinite length.
Curves cannot be measured.
Curves are always circular.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape is used to approximate the area under a curve?
Circle
Triangle
Rectangle
Trapezoid
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does increasing the number of rectangles affect the approximation?
It improves the approximation.
It has no effect.
It makes the rectangles larger.
It makes the approximation worse.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example with y = x^2, what is the approximate area under the curve using four rectangles?
0.469
0.385
0.5
0.25
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate area under the curve using ten rectangles in the y = x^2 example?
0.469
0.385
0.5
0.25
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