
Integration Techniques and Applications
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for integration by parts?
The integral of u dv is equal to uv minus the integral of v du
The integral of u dv is equal to uv plus the integral of v du
The integral of u dv is equal to u plus v
The integral of u dv is equal to u minus v
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the integration by parts method, what is typically chosen as u?
The part of the integrand that makes differential u more complex
The part of the integrand that makes differential u simpler
The part of the integrand that is a constant
The part of the integrand that is a trigonometric function
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 3x with respect to x?
1
3
0
x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of sine x with respect to x?
negative sine x
sine x
negative cosine x
cosine x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for v in the integration by parts formula when dv is sine x dx?
v equals negative sine x
v equals sine x
v equals cosine x
v equals negative cosine x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying u and v in the integration by parts formula?
3x times cosine x
3x times negative cosine x
3x times sine x
3x times negative sine x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the integral of v du when v is negative cosine x and du is 3 dx?
It becomes plus the integral of sine x dx
It becomes minus the integral of sine x dx
It becomes minus the integral of cosine x dx
It becomes plus the integral of cosine x dx
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