Question

integral de 0 a π/2 1 + cos2t/2 dt ???

Answer 1

$\int\limits^ \frac{ \pi }{2} _0 {1+cos( \frac{2t}{2} )} \, dt F(t)= t + sen t$

F(π/2) - F(0) = π/2 + 1         - 0.     =      π/2 + 1