Integration of (cosecx)^3 without using integration by parts

[kashan123999]

Homework Statement

Can anyone help me integrating (cosecx)^3 without using integration by parts?

Homework Equations

The Attempt at a Solution

i couldn't get a clue how to do it,i used fundamental identity but always ended up like

[∫(cosecx) dx] + [(∫(cotx)^2 . (cosecx) dx]


the left one will be simply reciprocal rule,but what about [(∫(cotx)^2 . (cosecx) dx] ??

 

[tiny-tim]

hi kashan123999!

trig substitution?

 

[kashan123999]

hi kashan123999!

trig substitution?

o hello sir hope you are doing good :) ahan i will try :)