Question

$\int\ 1/(sinx-1)(sinx+4)\, dx$
I need the answer in terms of inverse tan functions

Answer 1

$\huge\bold{Solution}$

$<b><i>$ Integral sum given below


sin2x+3sinx-4

=1/[sinx +(3/2)2]2 -(5/2)2

=log[ sinx +3/2 -5/2 /sinx +3/2 +5/2] +C