Integration by Partial Fractions
$$\displaystyle \int \frac{3x + 1}{x^2 - 4x + 3} \, dx = ?$$
A
$$\displaystyle -2 \ln|x - 3| + 5 \ln|x - 1| + C$$
B
$$\displaystyle \frac{1}{2} \ln|x - 3| - \frac{1}{2} \ln|x - 1| + C$$
C
$$\displaystyle 5 \ln|x - 3| - 2 \ln|x - 1| + C$$
D
$$\displaystyle \frac{1}{5} \ln|x - 3| - \frac{1}{2} \ln|x - 1| + C$$
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