
Understanding Definite Integrals and Substitution

Interactive Video
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Mathematics
•
11th Grade - University
•
Hard

Jackson Turner
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When evaluating a definite integral using substitution, under what condition do you need to determine new limits of integration?
When the function is linear
When the integral is indefinite
When using the antiderivative in terms of u
When using the antiderivative in terms of x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the substitution method, if you let u equal cosine x, what is the differential du?
cos x dx
-sin x dx
-cos x dx
sin x dx
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do if you leave the limits of integration in terms of x?
Evaluate directly without rewriting
Change the limits to u
Rewrite the antiderivative in terms of u before evaluating
Rewrite the antiderivative in terms of x before evaluating
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the new limits of integration for u?
By differentiating the original limits
By integrating the original limits
By using the original limits directly
By substituting the x values into the equation for u
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of u in terms of u?
u^2
u^2/2
2u
1/u
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When evaluating the integral in terms of x, what is the result when x is pi?
-1
1/2
1
0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the integral when evaluated in terms of u with limits from 0 to -1?
0
1
1/2
-1
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