Evaluate
\frac{u}{\sqrt{25x^{2}-9}}+С
Differentiate w.r.t. x
-\frac{25ux}{\left(25x^{2}-9\right)^{\frac{3}{2}}}
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\frac{u}{\sqrt{25x^{2}-9}}
Find the integral of \frac{1}{\sqrt{25x^{2}-9}} using the table of common integrals rule \int a\mathrm{d}u=au.
\frac{u}{\sqrt{25x^{2}-9}}+С
If F\left(u\right) is an antiderivative of f\left(u\right), then the set of all antiderivatives of f\left(u\right) is given by F\left(u\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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