Question

Помогите с алгеброй! Вычислить интеграл

Answer 1

∫(ot π/2  do  π) 3sin(x/2 +π/4)dx=3*(2/1)*(-cos(x/2+π/4)|(ot π/2  do π)=
=-6(cos(π/2+π/4) - cos(π/4+π/4)=-6*(cos3π/4 -cosπ/2)=-6*(cos(π-π/4)-0)=
=-6*(-cosπ/4)=6*√2 /2=3√2