3.7 Pengamiran, SPM Praktis (Kertas 1)


3.7 Pengamiran, SPM Praktis (Kertas 1)

Soalan 1:
Kamirkan setiap yang berikut terhadap x.
(a)  ( 3 x 2 5 2 x 3 +2 )dx (b)  x 2 ( x 5 +2x )dx (c)  3 x 4 +2x x 3 dx (d)  (7+x)(7x) x 4 dx (e)  (5x1) 3 dx (f)  3 ( 4x+7 ) 8 dx

Penyelesaian:
(a) ( 3 x 2 5 2 x 3 +2 )dx = ( 3 x 2 5 x 3 2 +2 )dx =3 x 1 + 5 x 2 4 +2x+c = 3 x + 5 4 x 2 +2x+c

(b) x 2 ( x 5 +2x )dx = ( x 7 +2 x 3 )  dx = x 8 8 + 2 x 4 4 +c = x 8 8 + x 4 2 +c

(c) 3 x 4 +2x x 3 dx = ( 3 x 4 x 3 + 2x x 3 )  dx= ( 3x+2 x 2 )  dx = 3 x 2 2 2 x +c

(d) (7+x)(7x) x 4 dx = ( 49 x 2 x 4 )  dx = ( 49 x 4 1 x 2 ) dx = ( 49 x 4 x 2 ) dx = 49 x 3 3 + 1 x +c = 49 3 x 3 + 1 x +c

(e) (5x1) 3 dx = (5x1) 4 ( 4 )( 5 ) +c = 1 20 ( 5x1 ) 4 +c

(f) 3 ( 4x+7 ) 8 dx = 3 ( 4x+7 ) 8  dx = 3 ( 4x+7 ) 7 ( 7 )( 4 ) +c = 3 28 ( 4x+7 ) 7 +c


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