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Rezolvati integrala:

Rezolvati Integrala class=

Răspuns :

[tex]\int\limits{\frac{sin2X}{1+sin^{4}X} \, dx =\int\limits{\frac{2sinXcosX}{1+(sin^{2}X)^{2}} \, dx=\int\limits{\frac{(sin^{2}X)'}{1+(sin^{2}X)^{2}} \, dx=arctg(sin^{2}x)+C[/tex]