[tex]\[\int {\frac{{3 + \sqrt {x^2 + 4} }}{{x^{2} + 4}}dx} = 3\int {\frac{1}{{x^2 + 2^2 }}dx} + \int {\frac{1}{{\sqrt {x^2 + 4} }}dx} = 3 \cdot \frac{1}{2}arctg\frac{x}{2} + \ln \left( {x + \sqrt {x^2 + 4} } \right) + C = \frac{3}{2}arctg\frac{x}{2} + \ln \left( {x + \sqrt {x^2 + 4} } \right) + C.\][/tex]
Edit:
Mai bine vezi aici: http://s3.postimg.org/d3by5pvdf/integrala.png
Vad ca latexul de pe site nu functioneaza cum trebuie.
