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$\int \cosec(ax+b)dx$ is equal to:
Difficulty: Easy
A: 
$\frac{1}{a}|\sin^{-1}(ax+b)|$
B: 
$-\frac{1}{a}|\sin^{-1}(ax+b)|$
C: 
$\frac{1}{a}|\sin(ax+b)|$
D: 
$\frac{1}{a}ln|\cosec(ax+b)-\cot(ax+b)|$
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