Question

интеграл
sin(x) / корень ( cos^2 (x) + 2 )

Answer 1

$int frac{sinx, dx}{sqrt{cos^2x+2}} =[, t=cosx,; dt=-sinx, dx,; sinx, dx=-dt, ]=\\=-int frac{dt}{sqrt{t^2+2}} =-ln|t+sqrt{t^2+2}|+C=-ln|cosx+sqrt{cos^2x+2}|+C$