Page 39 - Integration Problems
P. 39
Example 10:
Perform the following integration,
4 2 + 4
∫ 2
3 ( − 2)( + 4)
Whenever you see an integral of this form you need
to use partial fractions.
2 + 4 +
= +
2
2
( − 2)( + 4) ( − 2) ( + 4)
This becomes,
2
2 + 4 = ( + 4) + ( + )( − 2)
2
2
= + 4 + − 2 + − 2
Equate coefficients
0 = +
2 = −2 +
4 = 4 − 2
Write them in this form
+ + 0 = 0
0 − 2 + = 2
2 + 0 − = 2
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