Evaluate
\frac{n}{\sqrt{-x^{2}+3m-2}}+С
m>\frac{x^{2}+2}{3}
Differentiate w.r.t. x
\frac{nx}{\left(-x^{2}+3m-2\right)^{\frac{3}{2}}}
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\frac{n}{\sqrt{3m-x^{2}-2}}
Find the integral of \frac{1}{\sqrt{3m-x^{2}-2}} using the table of common integrals rule \int a\mathrm{d}n=an.
\begin{matrix}\frac{n}{\sqrt{3m-x^{2}-2}}+С_{3},&\end{matrix}
If F\left(n\right) is an antiderivative of f\left(n\right), then the set of all antiderivatives of f\left(n\right) is given by F\left(n\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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