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AP Calculus AB/Unit 7: Differential Equations
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Antiderivative With an Initial Condition
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Without using a calculator, determine which function is an antiderivative of $$\frac{3}{x}$$ that satisfies the condition $$F(1)=2$$.

A

$$f(x)=\ln|3*x|+2$$

B

$$f(x)=\frac{3}{\ln|x|}+2$$

C

$$f(x)=3*\ln|x|+2$$

D

$$f(x)=3*\ln|x+2|$$

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