If , where is the constant of integrating and is positive, then is equal to…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

\int \frac{\cos x - \sin x + 1 - x}{e^x + \sin x + x} dx = \ln \{f(x)\} + g(x) + C

, where

C

is the constant of integrating and

f(x)

is positive, then

\frac{f(x) + g(x)}{e^x + \sin x}

is equal to .....