Indefinite integrala

[juantheron]

[tex](1)\displaystyle \int\frac{1}{(3+4\sin x)^2}dx[/tex]

[tex](2)\displaystyle \int\frac{1}{(3+4\cos x)^2}dx[/tex]

[zec]

substitutie [tex]sinx=\frac{2tgx/2}{1+tg^2x/2}[/tex]respectiv[tex]cosx=\frac{1-tg^2x/2}{1+tg^2x/2}[/tex].Se noteaza [tex]tgx/2=t[/tex] si se face schimbare de variabila.Problema revine la rezolvare de integrala de fractii rationale care se rezolva algoritmic.

[juantheron]

Thanks Zec