Answer
$$x+\frac{1}{2}x^{2}+C$$
Work Step by Step
$\int 1+x$ $dx$
$= 1\frac{1}{0+1}x^{0+1}+\frac{1}{1+1}x^{1+1}+C$
$x+\frac{1}{2}x^{2}+C$
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