# What is the integral of int (2x-sinx) / (x^2 + cosx)?

Let ${x}^{2} + \cos x = t$
$\left(2 x - \sin x\right) \mathrm{dx} = \mathrm{dt}$
$\int \frac{2 x - \sin x}{{x}^{2} + \cos x} \mathrm{dx} = \int \frac{\mathrm{dt}}{t}$
$\implies \log | t | + c = \log | {x}^{2} + \cos x | + c$