Further Calculus Yr2 Flashcards
1
Q
What is an improper integral?
A
Has an asymptote and some places where undefined, uses infinity
2
Q
A
3
Q
A
4
Q
A
5
Q
A
6
Q
A
7
Q
A
8
Q
A
9
Q
A
10
Q
A
11
Q
A
12
Q
A
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
Q
A
18
Q
A
19
Q
A
20
Q
Integrate (using substitution)
A
21
Q
A
22
Q
A
23
Q
A
24
Q
A
25
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27
How do you factorise fractions with quadratics in the denominator?
When creating the partial fractions, note that the numerator must always be one power less than the denominator
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31
Know the substitution in the form x = sin(u) / x= cos(u)
Either way will work
32
Know the substitution x= tan(u)
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