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INTEGRALA DIN ( 3*COS*3X+4X )

Răspuns :

[tex]\int\limits {(3cos3x+4sinx)} \, dx = 3\int\limits {cos3x} \, dx + 4\int\limits {sinx} \, dx =\\ =3\cdot \frac{1}{3}\cdot sin3x+4\cdot (-cosx)+C=\\ =sin3x-4cosx+C[/tex]