Choose the correct options for the following questions.
$\int \frac{dx}{x^{2}+7x+6}$ is equal to:
Difficulty: Easy
A:
$\frac{1}{6}ln|\frac{x+6}{x+1}|$
B:
$\frac{1}{5}ln|\frac{x+1}{x+6}|$
C:
$ln|\frac{x+1}{x+6}|$
D:
$\frac{1}{5}ln|\frac{x+6}{x+1}|$
$\int \frac{dx}{x^{2}-9}$ is equal to:
Difficulty: Easy
A:
$\frac{1}{3}ln|\frac{x+3}{x-3}|$
B:
$\frac{1}{a}ln|\frac{x-3}{x+3}|$
C:
$\frac{1}{6}ln|\frac{x+3}{x-3}|$
D:
$\frac{1}{6}ln|\frac{x-3}{x+3}|$
$\int \frac{dx}{x^{2}-4}$ is equal to:
Difficulty: Easy
A:
$\frac{1}{2}ln|x-2|-\frac{1}{2}ln|x+2|$
B:
$\frac{1}{4}ln|x-2|-\frac{1}{2}ln|x+2|$
C:
$\frac{1}{4}ln|\frac{x-2}{x+2}|$
D:
$\frac{1}{2}ln|\frac{x-2}{x+2}|$
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