Evaluate
\frac{z^{2}}{2}+С
Differentiate w.r.t. z
z
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\frac{z^{2}}{2}
Since \int z^{k}\mathrm{d}z=\frac{z^{k+1}}{k+1} for k\neq -1, replace \int z\mathrm{d}z with \frac{z^{2}}{2}.
\frac{z^{2}}{2}+С
If F\left(z\right) is an antiderivative of f\left(z\right), then the set of all antiderivatives of f\left(z\right) is given by F\left(z\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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