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dv = cos (1/2 x) dx ---> v = 2 sin (1/2 x)
jika u' = 4x --> du' = 4 dx
dv' = sin (1/2 x) dx --> v' = - 2 cos (1/2 x)
atau dgn SMRT
+x² cos (1/2 x)
Turunan -2x 2 sin (1/2 x) Integral
+2 - 4 cos (1/2 x)
- 8 sin (1/2 x)
kalikan secara menyilang
= x² (2sin (1/2 x) + 2x (4 cos (1/2 x)) - 2 ( 8 sin (1/2 x)
= 2x² sin (1/2 x) + 8x cos (1/2 x) - 16 sin (1/2 x)
= 2 (x² sin (1/2 x) - 8 sin (1/2 x) + 4x cos (1/2 x))
= 2 ( (x²-8) sin (1/2 x) + 4x cos (1/2 x) )+ C