
Integral Test and Improper Integrals

Interactive Video
•
Mathematics
•
11th Grade - University
•
Hard
Standards-aligned

Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in using the integral test to determine if a series converges or diverges?
Use a calculator to approximate the series.
Calculate the sum of the series.
Graph the series.
Find a function that is positive, decreasing, and continuous.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a property that the function f(x) must have for the integral test?
Decreasing
Continuous
Increasing
Positive
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What function is chosen for f(x) in the integral test example?
x squared plus 1
1 divided by x
5 divided by the quantity 1 plus x squared
5 times x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the integral from 1 to infinity considered improper?
Because it is not decreasing.
Because it has an infinite upper limit.
Because it is not continuous.
Because it is not positive.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical concept is used to evaluate the improper integral?
Derivative
Limit
Matrix
Factorial
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which function is used to find the anti-derivative in this example?
Arctangent
Exponential
Sine
Cosine
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What value does arctangent approach as its input approaches infinity?
Zero
Pi over two
Negative infinity
One
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