Integrating factor of differential equation `cosx(dy)/(dx)+ysinx=1` is

Explanation

We have , `cos x frac{d y}{d x}+y sin x=1`


By Dividing each sides by `cos x`, we obtain


`Rightarrow frac{d y}{d x}+y tan x=sec x`


Now `P=tan x` and `Q=sec x`

`I F=e^{int y d x} int_{e}^{int tan x d x}=e^{log sec x}`