Question

Интеграл cosx dx/2sinx-5

Answer 1

$intlimits { frac{cos(x)}{2sin(x)-5} } , dx=\| 2sin(x)-5= t |\| 2cos(x) dx=dt |\| dx= frac{dt}{2cos(x)} |\= intlimits { frac{dt}{2t} }= frac{1}{2} intlimits {t^{-1}} , dt= frac{1}{2} ln|t|= frac{1}{2}ln|2sin(x)-5|+C$