Question

Rezolvati integrala:

Answer 1

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