Page 30 - Matematika Integral

2 .......... .
2.  ( x  )( x  ) dx =  x ( ...... ...... x.......) dx =  ......x ......  .......x ........ .......x  .......... . .
1
5
..........
1 ..........
= ( ...... - ........ - ......... ) - ( ...... - ........ - ......... ) = ......... - ............. = .......


3.  cos 2 ( x )dx = .........Sin ( .....  ........  = ( .... Sin ....) – ( ..... Sin ...... )
x
0
0
= ..... Sin ........... + ..... Sin ....... = ........ + ......... = ........

Tugas Mandiri tak terstruktur 1

1. Hitunglah :
2 4 1
a.  4 dx d.  x 2 dx
x
3 0
2 dx 5
b.  2 e.  2 ( x  ) 3 dx
1 x 0

2. Hitunglah :
3 6
a.  3 ( x 2  4x  ) 1 dx d.  6 ( x 2  ) 4 dx
0 1
1 2
2
b.  4 ( x 3  3x 2 )dx e.  3 ( x  ) 2 dx
1 1
3. Hitunglah :
2 2 2
2
3t
 )dt
a.  1 (  )( 1 t d.  6 ( p  2 ) dp
1 1 p
4 1  x 2
b.  2 dx e.  12x (x  )(x  ) 1 dx
1
1 x 1

4. Hitunglah nilai
 
)
a.  cos 2x dx d.  sin ( 2x -  dx
0 0

2 

b.  ( 2x  sin x ) dx e.  cos 4 . x sin x dx
0 
 
c.  sin 2 3x dx f.  cos 3 . x cos 2x dx
0 
5. Hitunglah nilai :
1 5
a.  2 ( x  ) 1 3 dx d.  x 1 dx
0 2
1 dx 2
b.  2 e.  4 ( x  ) 1 4x 1 dx
1
0 3 ( x  ) 0
3
c.  x 1 dx
0
6. Tentukanlah integral tentu berikut ini :

20