Evaluate: `intcot^6xdx`

Explanation

`intcot^6xdx`

`=int cot^4xcot^2xdxdx`

`=intcot^4x(cosec^2x−1)dx`

`=intcot^4xcosec^2xdx-intcot^4xdx`

`=intcot^4xcosec^2xdx-intcot^2xcot^2xdx`

`=intcot^4xcosec^2xdx-intcot^2x(cosec^2x−1)dx`

`=intcot^4xcosec^2xdx-intcot^2xcosec^2xdx+intcot^2xdx`

`=intcot^4xcosec^2xdx-intcot^2xcosec^2xdx+int(cosec^2x−1)dx`

...