7 muktafa akmal 13521078 latihan 2

7/23/2019 7 Muktafa Akmal 13521078 Latihan 2

1/10

xo 2

xi 4

i 10

0.2

i x f(x) y

0 2.0000 1.7100 1.7100

1 2.2000 1.7652 7.0607

2 2.4000 1.8171 3.6342

3 2.6000 1.8663 7.4650

4 2.8000 1.9129 3.8259

5 3.0000 1.9574 7.8297

6 3.2000 2.0000 4.0000

7 3.4000 2.0408 8.1633

8 3.6000 2.0801 4.16029 3.8000 2.1179 8.4716

10 4.0000 2.1544 2.1544

sum 58.4751

y dx = 3.8983

Jadi hasil int!"al da"i

xo 1

xi 4

i 20

0.15

i x f(x) y

0 1.0000 5.0550 5.0550

1 1.1500 4.8985 19.5940

2 1.3000 4.7866 9.5733

3 1.4500 4.7071 18.8285

4 1.6000 4.6519 9.3038

5 1.7500 4.6153 18.4613

6 1.9000 4.5935 9.1870

7 2.0500 4.5835 18.3338

8 2.2000 4.5830 9.1661

9 2.3500 4.5906 18.3623

10 2.5000 4.6047 9.2094

11 2.6500 4.6245 18.4979

12 2.8000 4.6490 9.2979

#x

#x

y

=

dxx

xxy

4

2

5

5

3 24

1

++=

dxx

xy

+=

4

2

3

4

22


2/10

13 2.9500 4.6775 18.7101

14 3.1000 4.7096 9.4192

15 3.2500 4.7447 18.9789

16 3.4000 4.7825 9.5650

17 3.5500 4.8226 19.2906

18 3.7000 4.8648 9.7296

19 3.8500 4.9088 19.635320 4.0000 4.9544 4.9544

sum= 283.1534

y dx = 14.1577

Jadi hasil int!"al da"i adalah 14.

xo 2

xi 3

i 20

0.05

i x f(x) y

0 2.0000 8.7915 8.7915

1 2.0500 9.3473 37.3893

2 2.1000 9.9269 19.8537

3 2.1500 10.5305 42.1221

4 2.2000 11.1587 22.3173

5 2.2500 11.8117 47.2468

6 2.3000 12.4900 24.9800

7 2.3500 13.1939 52.7758

8 2.4000 13.9239 27.8478

9 2.4500 14.6803 58.7211

10 2.5000 15.4634 30.9269

11 2.5500 16.2738 65.0951

12 2.6000 17.1117 34.2234

13 2.6500 17.9776 71.9102

14 2.7000 18.8718 37.7436

15 2.7500 19.7948 79.1791

16 2.8000 20.7469 41.4938

17 2.8500 21.7286 86.9143

18 2.9000 22.7402 45.4804

19 2.9500 23.7822 95.1288

20 3.0000 24.8550 24.8550

sum= 954.9960

#x

dxxx

xe

xy

x

+=

3

2

2

32

5

2

dxx

xxy

4

2

5

5

3 24

1

++=


3/10

y dx = 15.9166

$adi hasil int!"al da"i

xo 2

xi 5

i 20

0.15

i x f(x) y

0 2.0000 11.3363 11.3363

1 2.1500 12.2359 48.9435

2 2.3000 13.1370 26.27413 2.4500 14.0400 56.1599

4 2.6000 14.9448 29.8896

5 2.7500 15.8516 63.4064

6 2.9000 16.7605 33.5210

7 3.0500 17.6715 70.6860

8 3.2000 18.5847 37.1694

9 3.3500 19.5001 78.0002

10 3.5000 20.4177 40.8353

11 3.6500 21.3375 85.3501

12 3.8000 22.2596 44.5192

13 3.9500 23.1839 92.7358

14 4.1000 24.1105 48.2211

15 4.2500 25.0394 100.1575

16 4.4000 25.9705 51.9409

17 4.5500 26.9038 107.6151

18 4.7000 27.8393 55.6786

19 4.8500 28.7771 115.1083

20 5.0000 29.7170 29.7170

sum= 1227.2652

y dx = 61.3633

$adi hasil int!"al da"i

#x

dxxxxy

++=

5

2

356

7

1ln

dxxx

xe

xy

x

+=

3

2

2

32

5

2

dxxxxy

++=

5

2

356

7

1ln


4/10

%&'

*i +,ah mn$adi 2 -

xo 2

xi 3

i 10

0.1

i x f(x) y0 2.0000 66.0891 66.0891

1 2.1000 79.7631 319.0523

2 2.2000 96.3972 192.7944

3 2.3000 116.6366 466.5464

4 2.4000 141.2677 282.5354

5 2.5000 171.2494 684.9976

6 2.6000 207.7507 415.5014

7 2.7000 252.1971 1008.7884

8 2.8000 306.3267 612.6534

9 2.9000 372.2592 1489.0367

10 3.0000 452.5794 452.5794

sum= 5990.5747

y dx = 199.6858

xo 3

xi 5

i 20

0.1

i x f(x) y

0 3.0000 8.4584 8.4584

1 3.1000 8.8294 35.3177

2 3.2000 9.2070 18.4139

3 3.3000 9.5909 38.3635

4 3.4000 9.9810 19.9620

5 3.5000 10.3772 41.5087

#x

#x

+++

++=

+ 5

3

3 43

3

2

23

1

4

2 2

2

1323

2

3dxx

x

xdxex

x

yx

x

dxexx

yx

x

++=

+3

2

23

1

42 3

2

3

++=

5

3

3 432

2

132 dxx

xxy


5/10

6 3.6000 10.7794 21.5587

7 3.7000 11.1874 44.7495

8 3.8000 11.6011 23.2023

9 3.9000 12.0206 48.0822

10 4.0000 12.4455 24.8910

11 4.1000 12.8760 51.5038

12 4.2000 13.3118 26.623513 4.3000 13.7529 55.0115

14 4.4000 14.1992 28.3984

15 4.5000 14.6507 58.6028

16 4.6000 15.1073 30.2146

17 4.7000 15.5689 62.2755

18 4.8000 16.0354 32.0709

19 4.9000 16.5069 66.0276

20 5.0000 16.9832 16.9832

sum= 752.2197

y dx = 25.0740

%otal 199.685825.0740 = 224.7598

Jadi hasil int!"al da"i

++

++=

+ 5

3

3

3

2

23

1

42

232

3xdxex

xy

xx


6/10

adalah 3.8983dx

xx

+

4

2

3

4

22


7/10

1577


8/10

adalah 15.9166

adalah 61.3633


9/10


10/10

adalah 224.7598

+ 3 42

2

13 dxx

x

7 muktafa akmal 13521078 latihan 2

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