(a)
(b)
(c)
(d)
(e)
Example 25 __
with u = tan t and du = u′(t) dt = sec^2 t dt.Example 26 __
with u = 9
− z^2 , n = − Example 27 __
Example 28 __
sin x cos x dx = sin^2 x + C by (3) with u = sin x; OR = − cos^2 x + C by (3)with u = cos x; OR = − cos 2x + C by (6), where we use the trigonometric
identity sin 2x = 2 sin x cos x.