(107) Z x n cos ax dx = 1 2 (ia) 1-n [(-1) n Γ(n +1, -iax) - Γ(n +1, ixa)] (108) Z x sin x dx = -x cos x + sin x (109) Z x sin ax dx = - x cos ax a + sin ax a 2 (110) Z x 2 sin x dx = ( 2 - x 2 ) cos x +2 x sin x (111) Z x 2 sin ax dx = 2 - a 2 x 2 a 3 cos ax + 2 x sin ax a 2 (112) Z x n sin x dx = - 1 2 (i) n [Γ(n +1, -ix) - (-1) n Γ(n +1, -ix)] (113) Z x cos 2 x dx = x 2 4 + 1 8 cos 2 x + 1 4 x sin 2 x (114) Z x sin 2 x dx = x 2 4 - 1 8 cos 2 x - 1 4 x sin 2 x (115) Z x tan 2 x dx = - x 2 2 + ln cos x + x tan x (116) Z x sec 2 x dx = ln cos x + x tan x 12