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Integrating Rational Functions After Decomposition
Worksheet
Grade Level
Calculus II
CAL2.41 Integrating Rational Functions After Decomposition
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Evaluate the definite integral using the given decomposition: ∫_0
1
[5/(2x + 3) + 4/((x + 1)
2
+ 4)] dx.
A
5 ln(5) - 5 ln(3) + 4 arctan(1) - 4 arctan(1/2)
B
5/2 ln(5) - 5/2 ln(3) + 2 arctan(1) - 2 arctan(1/2)
C
5/2 ln(5) - 5/2 ln(3) + 4 arctan(1) - 4 arctan(1/2)
D
5/2 ln(5) - 5/2 ln(3) + 2 ln(8) - 2 ln(5)
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