Simplify the integral $\int\cot\left(t\right)^3dt$ applying the reduction formula $\displaystyle\int\cot(x)^ndx=-\frac{1}{n-1}\cot^{n-1}(x)-\int\cot(x)^{n-2}$
Subtract the values $3$ and $-1$
The integral $-\int\cot\left(t\right)dt$ results in: $-\ln\left(\sin\left(t\right)\right)$
Gather the results of all integrals
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
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