Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$

The integral of a function times a constant ($-3$) is equal to the constant times the integral of the function

Apply the formula: $\int\csc\left(ax\right)^2dx$$=-\left(\frac{1}{a}\right)\cot\left(ax\right)+C$, where $a=2$

Multiply the fraction and term in $3\cdot \left(\frac{1}{2}\right)\cot\left(2x\right)$

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$