Question

calculati integralele nedefinite :∫(3cosx-5sinx)dx

Answer 1

$\int(3cosx - 5sinx) \: dx$

$= \int3cosx \: dx - \int5sinx \: dx$

$= 3 \int cosx \: dx - 5 \int sinx \: dx$

$= 3 sinx - 5 \times ( - cosx) + C$

$= 3sinx + 5cosx + C$