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Inverse Cotangent with Linear Argument
## Formula
$$\int\cot^{-1}(ax)\,dx=x\cot^{-1}(ax)+\frac1{2a}\ln(1+a^2x^2)+C$$
## Usage
- Used to integrate inverse cotangent functions containing a constant multiple of $$x$$.
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Inverse Cotangent with Linear Argument
## Formula
$$\int\cot^{-1}(ax)\,dx=x\cot^{-1}(ax)+\frac1{2a}\ln(1+a^2x^2)+C$$
## Usage
- Used to integrate inverse cotangent functions containing a constant multiple of $$x$$.
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