Question

Вычислите интеграл от 0 до р/2
cos^2 (x) dx

Answer 1

сos2x=2cos²x-1   сos²x=1/2+cos2x/2
0--π/2  ∫(1/2+1/2*cos2x)dx=x/2+1/4*sin2x
F(π/2)=π/4+1/4sinπ=π/4
F(0)=0   F(π/2)-F(0)=π/4