`int(1-cosx)cosec^(2)x dx` is equal toA. `tan x+C`B. `tan.(x)/(2)+C`C. `(1)/(2)tan.(x)/(2)+C`D. None of these

`int(1-cosx)cosec^(2)x dx` is equal toA. `tan x+C`B. `tan.(x)/(2)+C`C.

1.	`int(1-cosx)cosec^(2)x dx` is equal toA. `tan x+C`B. `tan.(x)/(2)+C`C. `(1)/(2)tan.(x)/(2)+C`D. None of these
Answer» Correct Answer - B `int(1-cosx)"cosec"^(2)xdx` `=int"cosec"^(2)xdx-int"cosec"^(2)xcosxdx` `=-cotx+"cosec x"+C=(1-cosx)/(sinx)+C` `=(2sin^(2).(x)/(2))/(2sin.(x)/(2)cos.(x)/(2))+C` `=tan.(x)/(2)+C`