Find the following integral: $\int(2x - 3 \cos x + e^x) \, dx$

(N/A) To find the integral $\int(2x - 3 \cos x + e^x) \, dx$,we use the linearity property of integration:
$= 2 \int x \, dx - 3 \int \cos x \, dx + \int e^x \, dx$
Using the standard integration formulas $\int x^n \, dx = \frac{x^{n+1}}{n+1}$,$\int \cos x \, dx = \sin x$,and $\int e^x \, dx = e^x$:
$= 2 \left( \frac{x^2}{2} \right) - 3(\sin x) + e^x + C$
$= x^2 - 3 \sin x + e^x + C$
where $C$ is an arbitrary constant.