Question

intregation of ,cosesx.dx=​

Answer 1

GOOD MORNING

integration of Cosecx dx is

-log { Cosecx + Cotx } + c



Procedure.



MULTIPLY NR AND DN BY ( Cot x + Cosec x )



=>


integration of

Cosecx { Cosecx + Cotx }
__________________
{ Cotx + Cosecx }



=>


put Cosecx + Cotx = z


-Cosecx × Cotx -Cosec² x = dz/dx



-Cosecx { Cotx + Cosecx } = dx/dz




=>


integration of

-1/ { z } dz


=>


-log ( z )



=>


-log { Cosecx + Cotx }