Page 29 - Matematika Integral

Hitunglah  2 5 2 ( x  ) 3 dx

Penyelesaian :
 2 5 2 ( x  ) 3 dx = [x – 3x] = (5 – 3 . 5) – (2 – 3 . 2) = 10 – (-2) = 12
2
5
2
2
2

Contoh 2
3
2
Hitunglah  1 3 ( x  ) 1 dx
Penyelesaian :
3
3
3
 1 3 ( x  ) 1 dx =  1 9 ( x 2  6x  ) 1 dx = 3x 3  3x 2   x = (3. 3 + 3 . 3 + 3) – (3. (-1)
2
3
3
2

1
2
+ 3. (-1) - 1)
= (81 + 27 + 3) - (-3 + 3 - 1) = 112

Contoh 3
Hitunglah  1 1 (t 2  t 1 2 ) dt
Penyelesaian :
1
1
1
1
 1 1 (t 2  t 1 2 ) dt =  1 (t 2  t 2 ) dt = [ t 3  t ] = [ t  ] =

3
1
1
1
1 
1 
3
3
t
1 1
(  ) 1  (  ) 1   2
3 3
Contoh 4


4
Hitunglah  0 2 2 (  cos x )dx
Penyelesaian :
  
 0 2 2 (  cos x )dx= [2x – 4 sin x] = ( - 4 sin 2 ) – ( 0 – 4 sin 0) =  - 4 . 1 – 0 =  -
4
2
0
4

NON TATAP MUKA :
Tugas Mandiri terstruktur 7
1

1. Hitunglah 8x 5 dx
2
2

5
1
2. Hitunglah ( x  )( x  ) dx
1


3. Hitunglah cos 2 ( x )dx
0
Jawab :

1 .......... .
5
1.  8x 5 dx =  ........ dx= ......  ........x .......  ......... =
.........
2 .......... .
........(....... ....... .......... )  ( ........ ...... ..........  ) = ( ...... - ...... ) = ......

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