Integrale

E' semplice

dt = - sin x dx

- S sqrt (1 + 2t) dt = - S ( 1 + 2t)^(1/2) dt = - 1/2 S ( 1 + 2t )^(1/2) * 2 dt =

= -1/2 [ (1 + 2t )^(3/2) ]/(3/2) + C = -1/2 * 2/3 ( 1 + 2 t )^(3/2) + C =

= - 1/3 (1 + 2 cos x )^(3/2) + C