Answer
General Solution: $\displaystyle \frac{x^2}{4}+\sin(x)+C$
Work Step by Step
$\displaystyle \int [\cos(x)+\frac{1}{2}x]dx=\sin(x)+\frac{1}{2}\cdot\frac{x^2}{2}+C$
General Solution: $\displaystyle \frac{x^2}{4}+\sin(x)+C$
A graph of different members of this solution is shown in the answer box.