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Evaluate
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Differentiate w.r.t. z
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\frac{z}{4+2\sqrt{1+13}}
Find the integral of \frac{1}{4+2\sqrt{1+13}} using the table of common integrals rule \int a\mathrm{d}z=az.
\left(-\frac{1}{10}+\frac{\sqrt{14}}{20}\right)z
Simplify.
\left(-\frac{1}{10}+\frac{\sqrt{14}}{20}\right)z+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.