Question

integrate the function sinx/(1 + cosx)².dx

Answer 1

Hope it will help you!!

Answer 2

HELLO DEAR,

Given function is ∫sinx/(1 + cosx)².dx

let (1 + cosx) = t
dt/dx = -sinx
⇒dx = dt/(-sinx)

So, ∫sinx/(1 + cosx)² * dt/(-sinx)

⇒- ∫dt/t

⇒ - log|t| + c

put the value of t in above function,

- log|1 + cosx| + c

I HOPE ITS HELP YOU DEAR,
THANKS