[tex] \int\limits^ \frac{ \pi }{2} _0cos^2 {x}sin {x} \, dx [/tex]

jawab


misal u = cos x
du = - sin x dx
sin x dx = - du

∫cos² x sin x dx = -∫u² du

= -1/3 (cos x )](π/2 ,,,0)

 = - 1/3  [cos π/2 - cos 0]

= -1/3 [0 -1]

= 1/3