tentukan integral tak tentu,,,

(sin x + cos x)² = 1 + 2 sinx cos x = 1 + sin 2x

dcos 2x /dx = -2sin 2x
sin 2x dx = (-1/2)dcos 2x

Int (sin x + cos x)² dx
= Int (1 + sin 2x) dx
= Int 1 dx + Int sin 2x dx
= x + Int (-1/2)dcos 2x
= x - (1/2)cos 2x + C