User:Nusdan

LaTeX input test

$$

\int \frac{1}{x+9+6 \sqrt{x-8}} \, dx=\text{C}+\left(\log \left(x+6 \sqrt{x-8}+9\right)-\frac{3 \tan ^{-1}\left(\frac{\sqrt{x-8}+3}{2 \sqrt{2}}\right)}{\sqrt{2}}\right)

$$

$$

\int \frac{8 x^3+8 x^2+12 x+3}{\left(4 x^2+3 x+5\right)^2} \, dx=\frac{5 x-7}{142 \left(4 x^2+3 x+5\right)}+\frac{1}{4} \log \left(4 x^2+3 x+5\right)-\frac{61 \tan ^{-1}\left(\frac{8 x+3}{\sqrt{71}}\right)}{142 \sqrt{71}} + C

$$