# Further integration

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What is the general rule for integration of x^n?
( x^(n+1 )) / (n+1)
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What identity should be used when integrating an even power of a trig function?
cos(2x) = 1 - 2sin^2(x) = 2cos^2(x) - 1
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What identity should be used when integrating an odd power of a trig function?
cos^2(x) + sin^2(x) = 1
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What is needed for an integration to become ln|f(x)|
Fraction f '(x)/f(x)
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When using substitution, when will the new expression will be completely in terms of the new variable?
The expression substituted is a linear function or the original variable will be cancelled out
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What is the integral of sinx?
- cosx
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What is the integral of cosx?
sinx
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What is the integral of 1/x?
lnx
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Where is a source of integral soultions for use in exams?
Formula book
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## Other cards in this set

### Card 2

#### Front

What identity should be used when integrating an even power of a trig function?

#### Back

cos(2x) = 1 - 2sin^2(x) = 2cos^2(x) - 1

### Card 3

#### Front

What identity should be used when integrating an odd power of a trig function?

### Card 4

#### Front

What is needed for an integration to become ln|f(x)|

### Card 5

#### Front

When using substitution, when will the new expression will be completely in terms of the new variable?