
Integration by Parts Concepts

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

Emma Peterson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What makes the integration by parts problem discussed in the video a 'classic'?
It is commonly used in calculus competitions.
It involves simple arithmetic operations.
It requires no knowledge of calculus.
It is a problem that can be solved without any calculations.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which function remains unchanged when taking derivatives or anti-derivatives?
Cosine of x
x squared
Sine of x
e to the x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the integration by parts setup, what is assumed to be g prime of x?
e to the x
Cosine of x
Sine of x
x squared
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of cosine of x?
x squared
e to the x
Negative sine of x
Sine of x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the integral expression after the first application of integration by parts?
It becomes simpler.
It remains the same.
It is solved completely.
It becomes more complex.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of applying integration by parts twice in this problem?
The integral is evaluated directly.
The original integral reappears.
The problem becomes unsolvable.
The original problem is solved.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the integral of e to the x cosine of x finally expressed?
As a sum of two integrals.
As an average of two expressions.
As a difference of two functions.
As a product of two functions.
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