Question

Вычислите определенный интеграл

Answer 1

= Интеграл (π/2;π) 10 sin (x/2+π/4) d(x/2+π/4) = - 10 cos(x/2+π/4) | (π/2;π) =
- 10 cos(π/2+π/4) + 10 cos(π/4+π/4) = - 10 cos(3π/4) + 10 cos(π/2)= 5√2