Further Calculus Yr2 Flashcards
1
Q
What is an improper integral?
A
Has an asymptote and some places where undefined, uses infinity
2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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12
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13
Q
What is the derivative of arcsin (x)?
A
14
Q
What is the derivative of arc cos(x)?
A
15
Q
What is the derivative of arc tan (x)?
A
16
Q
Complete the table
A
17
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18
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19
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20
Q
Integrate (using substitution)
A
21
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22
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23
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24
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25
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26
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27
Q
How do you factorise fractions with quadratics in the denominator?
A
When creating the partial fractions, note that the numerator must always be one power less than the denominator
28
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29
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30
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31
Q
A
Know the substitution in the form x = sin(u) / x= cos(u)
Either way will work
32
Q
A
Know the substitution x= tan(u)
33
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34
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35
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36
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37
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38
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39
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40
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41
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42
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43
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44
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45
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