Final Answer
$\frac{1}{2}x^2+C_0$
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Step-by-step Solution
Problem to solve:
$\int xdx$
Specify the solving method
1
Applying the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a number or constant function, in this case $n=1$
$\frac{1}{2}x^2$
2
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$\frac{1}{2}x^2+C_0$
Final Answer
$\frac{1}{2}x^2+C_0$