Evaluate
-\frac{1}{2x^{2}}+С
Differentiate w.r.t. x
\frac{1}{x^{3}}
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-\frac{1}{2x^{2}}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int \frac{1}{x^{3}}\mathrm{d}x with -\frac{1}{2x^{2}}.
-\frac{1}{2x^{2}}+С
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
Examples
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Matrix
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