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Integration by substitution and by parts Flashcards | StudBud
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Integration by substitution and by parts
Integration by substitution and by parts
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integration using substitution and parts #integration #calculus
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Questions
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Answers
1
Answer the following question
parts; u = cos x
Substitution; u = cos x
Substitution; u = x2 + 1
Parts; u = x2 + 1
2
Answer the following question
Substitution; u = x3
Substitution; u = 3x
parts; u = x3
Parts; u = 3x
3
How do you choose "u" for u-substitution
Latte, yum
choose the piece inside the grouping symbols
LIATE, of course
choose the more complicated piece
4
Which is the most popular Spring Break vacation destination this year (across the USA)?
Florida
Texas
California
Oregon (of course)!!!!
5
Which of these is the correct separation of this problem
ydy=xdx
dy/y=xdx
is it me or is this gibberish?
yes
6
Answer the following question
Substitution; u = 3x
Substitution; u = 7x2 + 1
Parts; u = 7x2 + 1
parts; u = 3x
7
Which technique is needed to solve this differential equation?
separable differential equation
u-substitution
integration by parts
antiderivatives
8
How do you know this is an int. by parts problem?
it has layers / parentheses
it has 2 pieces that don't relate by derivatives
it has 2 pieces that don't relate by limits
it is simple and right on the yellow sheet
9
Which technique is needed to solve this differential equation?
u-substitution
antiderivatives
integration by parts
separable differential equation
10
In which direction is the cat traveling?
up the stairs
down the stairs
back to the future
to Calculus class, meow
11
Do you remember everything there is to know about integrals?
Absolutely
well....I probably forgot a bit
yes, but actually, no
not at all
12
The % of teens getting the recommended 8.5 hours of sleep per night is:
5%
25%
15%
37%
13
Answer the follow question
parts; u = ex
Substitution; u = ex
Parts; u = 2x2
Substitution; u = 2x2
14
How do you know this is a u-sub problem?
It has parentheses / layers
the pieces relate by derivatives
trick question
I don't really; but Ms. Strapp said u-sub is needed
15
Which technique is needed to solve this differential equation?
separable differential equation
u-substitution
antiderivatives
integration by parts
16
Which of these could involve an infinite loop if they were in the same problem?
ex and sinx
ex and lnx
ex and x4
ex and cosx
17
If you used the pattern here, how many pieces would be in your answer?
silly goose, 1
6, oh my!!!
5
3
18
The Ancient Egyptians built ____so it points directly at the rising sun on the spring equinox.
Great Sphinx
The River Nile
Great Pyramid
Stonehenge
19
Are you looking forward to spring break?
for sure
absolutely
not exactly - I have to work
I worry I might run out of math to do for funsies
20
Which date is the first day of spring in 2019?
3/19
3/20
3/21
3/22
21
Answer the following question
Parts; u = cos 2x
Substitution; u = ex
parts; u = ex
Substitution; u = cos 2x
22
Which technique is needed to solve this differential equation?
u-substitution
antiderivatives
integration by parts
separable differential equation
23
If you didn't use the pattern, how many times would you have to use int. by parts here?
silly goose, 1
6, oh my!!!
5
3
