
Evaluating Improper Integrals and Limits

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
Read more
6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What makes an integral improper?
The function is continuous.
The upper limit is infinity.
The integral is definite.
The lower limit is zero.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in evaluating an improper integral with an infinite upper limit?
Replace infinity with a variable.
Calculate the derivative.
Find the definite integral.
Use numerical methods.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the anti-derivative of 0.5e^x?
0.5x^2
x^0.5
e^x
0.5e^x
Tags
CCSS.HSF-IF.C.8B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you evaluate the limit of an integral as the variable approaches infinity?
By substituting the variable with zero.
By calculating the derivative.
By substituting the bounds and evaluating the expression.
By using a calculator.
Tags
CCSS.HSF-IF.C.8B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to e^b as b approaches infinity?
It approaches zero.
It remains constant.
It decreases without bound.
It increases without bound.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the improper integral in the video diverge?
Because the function is bounded.
Because the integral is definite.
Because the limit approaches infinity.
Because the limit exists.
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