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Integrating Exponential and Reciprocal Functions
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$$\int \left(5e^{2x} + \frac{1}{x}\right) dx =$$

A

$$\displaystyle 5e^{2x} + \ln|x| + C$$

B

$$\displaystyle 5e^{2x} + \displaystyle \frac{2}{x^2} + C$$

C

$$\displaystyle \frac{5}{2}e^{2x} + \displaystyle \frac{2}{x^2} + C$$

D

$$\displaystyle \frac{5}{2}e^{2x} + \ln|x| + C$$

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