
Understanding Definite Integrals
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary purpose of using rectangles in estimating the area under a curve?
To determine the slope of the curve
To find the maximum height of the curve
To approximate the area using a sum of heights
To calculate the exact area
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In integral notation, what does 'DX' represent?
The width of the rectangles
The slope of the curve
The height of the curve
The variable of integration
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the integral sign resembling an elongated 'S'?
It indicates division
It denotes multiplication
It represents subtraction
It signifies summation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the area of a trapezoid calculated when evaluating an integral?
Base one times base two
Base one plus base two
One half base one plus base two times the height
Base times height
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating a constant function over an interval?
The constant itself
The length of the interval
The constant times the length of the interval
Zero
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When dealing with a semicircle in integration, what additional step is necessary?
Multiply by two
Subtract the radius
Add the radius
Divide by two
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the order of integration be changed?
By adding a constant
By multiplying by the integral
By subtracting the limits
By flipping the limits and changing the sign
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