∫cos2xdx (от 3п/4 доп/ 4)

Question

∫cos2xdx (от 3п/4 доп/ 4)

Answer 1

F(x)=∫cos2xdx=1/2∫cos2xd(2x)=sin2x/2
F(3π/4)=0.5*sin6π/4=0.5sin3π/2=-0.5
F(π/4)=0.5*sin 2*π/4=0.5*1=0.5
в итоге 0,5-(-0,5)=0,5+0,5=1