Integration Techniques and Concepts
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Emma Peterson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does an integral represent in terms of area?
A point on a graph
An area bounded by an axis
A volume under a surface
A line under a curve
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When changing the variable of integration from x to y, what must also be adjusted?
The axis labels
The color of the graph
The function and boundaries
The type of integral
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in integrating with respect to y?
Multiply the function by y
Add a constant to the function
Switch dx to dy
Change the graph's color
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the new boundaries when integrating with respect to y?
Use the same x boundaries
Determine the lowest and highest y values
Add 10 to each x boundary
Subtract 5 from each y boundary
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a benefit of integrating with respect to y?
It always gives a larger area
It can be more efficient for certain areas
It simplifies all problems
It eliminates the need for boundaries
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might the second method of integration be challenging for some students?
It is only used in advanced mathematics
It requires memorizing new formulas
It requires a calculator
It involves unfamiliar concepts and changes
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating y to the power of 3/2 from 0 to 16?
32
256
128/3
64
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