Final Answer
$\ln\left(\sin\left(x\right)\right)+C_0$
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Step-by-step Solution
Problem to solve:
$\int\cot\left(x\right)dx$
Specify the solving method
1
The integral of the cotangent function is given by the following formula, $\displaystyle\int\cot(x)dx=\ln(\sin(x))$
$\ln\left(\sin\left(x\right)\right)$
2
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$\ln\left(\sin\left(x\right)\right)+C_0$
Final Answer
$\ln\left(\sin\left(x\right)\right)+C_0$