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Antiderivatives and the Constant of Integration
Grade Level
Calculus I
CAL1.99 Antiderivatives and the Constant of Integration
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Select f(x) if f'(x) = 12x
2
/(4x
3
+ 9) + 5sec
2
(5x).
A
f(x) = 3ln∣4x
3
+ 9∣ + tan(5x) + C
B
f(x) = ln∣4x
3
+ 9∣ + tan(5x) + C
C
f(x) = ln∣4x
3
+ 9∣ + 5tan(5x) + C
D
f(x) = 12ln∣4x
3
+ 9∣ + sec(5x)tan(5x) + C
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