TRAPESOIDAL

>> x=linspace(0,2,50);

>> %definisikan vektor x

>> y=exp(-x.^3);

>> % hitung nilai y

>> integral=trapz(x,y)

integral =

0.8930

Contoh soal

>> clear all

>> F = 10

F =

10

>> D = 10

D =

10

>> M = 20

M =

20

>> xf = 0.32

xf =

0.3200

>> Xf = 0.32

Xf =

0.3200

>> Xwo = 0.32

Xwo =

0.3200

>> alpha =2.48

alpha =

2.4800

>> YDn = 0.4

YDn =

0.4000

>> % melakukan perhitungan Xwn

>> YDn = alpha*Xwn/(1-((alpha-1)*Xwn)

??? YDn = alpha*Xwn/(1-((alpha-1)*Xwn)

|

Error: Expression or statement is incorrect--possibly unbalanced (, {, or [.

>> Xw =YDn/(alpha-(alpha-1)*YDn

??? Xw =YDn/(alpha-(alpha-1)*YDn

|

Error: Expression or statement is incorrect--possibly unbalanced (, {, or [.

>> Xw = YDn./(alpha-(alpha-1)*YDn

??? Xw = YDn./(alpha-(alpha-1)*YDn

|

Error: Expression or statement is incorrect--possibly unbalanced (, {, or [.

>> Xw = YDn./(alpha-(alpha-1)*YDn)

Xw =

0.2119

>> Xwn =YDn./(alpha-(alpha-1)*YDn)

Xwn =

0.2119

>> Xw = linspace(Xwo,Xwn,100)

Xw =

Columns 1 through 8

0.3200 0.3189 0.3178 0.3167 0.3156 0.3145 0.3134 0.3124

Columns 9 through 16

0.3113 0.3102 0.3091 0.3080 0.3069 0.3058 0.3047 0.3036

Columns 17 through 24

0.3025 0.3014 0.3003 0.2992 0.2982 0.2971 0.2960 0.2949

Columns 25 through 32

0.2938 0.2927 0.2916 0.2905 0.2894 0.2883 0.2872 0.2861

Columns 33 through 40

0.2850 0.2840 0.2829 0.2818 0.2807 0.2796 0.2785 0.2774

Columns 41 through 48

0.2763 0.2752 0.2741 0.2730 0.2719 0.2708 0.2698 0.2687

Columns 49 through 56

0.2676 0.2665 0.2654 0.2643 0.2632 0.2621 0.2610 0.2599

Columns 57 through 64

0.2588 0.2577 0.2566 0.2556 0.2545 0.2534 0.2523 0.2512

Columns 65 through 72

0.2501 0.2490 0.2479 0.2468 0.2457 0.2446 0.2435 0.2424

Columns 73 through 80

0.2414 0.2403 0.2392 0.2381 0.2370 0.2359 0.2348 0.2337

Columns 81 through 88

0.2326 0.2315 0.2304 0.2293 0.2282 0.2272 0.2261 0.2250

Columns 89 through 96

0.2239 0.2228 0.2217 0.2206 0.2195 0.2184 0.2173 0.2162

Columns 97 through 100

0.2151 0.2140 0.2130 0.2119

>> Yd = alpha.*Xw/(1-((alpha-1).*Xw)

??? Yd = alpha.*Xw/(1-((alpha-1).*Xw)

|

Error: Expression or statement is incorrect--possibly unbalanced (, {, or [.

>> Yd = alpha.*Xw/1-(alpha-1)*Xwn)

??? Yd = alpha.*Xw/1-(alpha-1)*Xwn)

|

Error: Unbalanced or unexpected parenthesis or bracket.

>> Yd=alpha.*Xw/1-(alpha-1).*Xw)

??? Yd=alpha.*Xw/1-(alpha-1).*Xw)

|

Error: Unbalanced or unexpected parenthesis or bracket.

>> Yd = alpha.*Xw/(1-(alpha-1).*Xw)

Yd =

1.0713

>> ti = M./(F.*Xf-D.*Yd)

ti =

-2.6621

>> t = trapz(Xw,ti)

??? Error using ==> permute

ORDER contains an invalid permutation index

Error in ==> trapz at 44

y = permute(y,perm);

>> Yd =alpha.*Xw./(1-(alpha-1).*Xw)

Yd =

Columns 1 through 8

1.5076 1.4979 1.4882 1.4785 1.4690 1.4595 1.4500 1.4406

Columns 9 through 16

1.4313 1.4220 1.4128 1.4036 1.3945 1.3854 1.3764 1.3674

Columns 17 through 24

1.3585 1.3497 1.3409 1.3321 1.3234 1.3147 1.3061 1.2976

Columns 25 through 32

1.2891 1.2806 1.2722 1.2639 1.2555 1.2473 1.2391 1.2309

Columns 33 through 40

1.2228 1.2147 1.2066 1.1987 1.1907 1.1828 1.1749 1.1671

Columns 41 through 48

1.1593 1.1516 1.1439 1.1363 1.1287 1.1211 1.1136 1.1061

Columns 49 through 56

1.0986 1.0912 1.0839 1.0765 1.0693 1.0620 1.0548 1.0476

Columns 57 through 64

1.0405 1.0334 1.0263 1.0193 1.0123 1.0054 0.9984 0.9916

Columns 65 through 72

0.9847 0.9779 0.9711 0.9644 0.9577 0.9510 0.9444 0.9378

Columns 73 through 80

0.9312 0.9247 0.9181 0.9117 0.9052 0.8988 0.8924 0.8861

Columns 81 through 88

0.8798 0.8735 0.8672 0.8610 0.8548 0.8487 0.8425 0.8364

Columns 89 through 96

0.8304 0.8243 0.8183 0.8123 0.8063 0.8004 0.7945 0.7886

Columns 97 through 100

0.7828 0.7770 0.7712 0.7654

>> ti = M./(F.*Xf-D.*Yd)

ti =

Columns 1 through 8

-1.6841 -1.6980 -1.7121 -1.7263 -1.7407 -1.7552 -1.7699 -1.7847

Columns 9 through 16

-1.7997 -1.8149 -1.8302 -1.8457 -1.8614 -1.8772 -1.8933 -1.9095

Columns 17 through 24

-1.9258 -1.9424 -1.9591 -1.9761 -1.9932 -2.0106 -2.0281 -2.0459

Columns 25 through 32

-2.0638 -2.0820 -2.1004 -2.1190 -2.1378 -2.1568 -2.1761 -2.1957

Columns 33 through 40

-2.2154 -2.2354 -2.2557 -2.2762 -2.2970 -2.3180 -2.3394 -2.3609

Columns 41 through 48

-2.3828 -2.4050 -2.4274 -2.4502 -2.4732 -2.4966 -2.5202 -2.5442

Columns 49 through 56

-2.5686 -2.5932 -2.6182 -2.6436 -2.6693 -2.6954 -2.7218 -2.7487

Columns 57 through 64

-2.7759 -2.8035 -2.8316 -2.8600 -2.8889 -2.9182 -2.9479 -2.9781

Columns 65 through 72

-3.0088 -3.0400 -3.0716 -3.1037 -3.1364 -3.1695 -3.2032 -3.2375

Columns 73 through 80

-3.2723 -3.3077 -3.3437 -3.3803 -3.4175 -3.4553 -3.4938 -3.5330

Columns 81 through 88

-3.5729 -3.6134 -3.6547 -3.6968 -3.7396 -3.7832 -3.8276 -3.8728

Columns 89 through 96

-3.9189 -3.9658 -4.0137 -4.0625 -4.1123 -4.1630 -4.2148 -4.2676

Columns 97 through 100

-4.3215 -4.3765 -4.4327 -4.4900

>> t = trapz(Xw,ti)

t =

0.2983

SISTEM LINEAR

>> clear all

>> A = (5 -3 1 0;1 2 -3 1;0 3 -5 0;-1 0 2 -1)

??? A = (5 -3 1 0;1 2 -3 1;0 3 -5 0;-1 0 2 -1)

|

Error: Unexpected MATLAB expression.

>> A = (5 -3 1 0 ; 1 2 -3 1 ; 0 3 -5 0 ; -1 0 2 -1)

??? A = (5 -3 1 0 ; 1 2 -3 1 ; 0 3 -5 0 ; -1 0 2 -1)

|

Error: Unexpected MATLAB expression.

>> A = [5 -3 1 0;1 2 -3 1;0 3 -5 0;-1 0 2 -1]

A =

5 -3 1 0

1 2 -3 1

0 3 -5 0

-1 0 2 -1

>> B = [X1;X2;X3;X4)

??? B = [X1;X2;X3;X4)

|

Error: Unbalanced or unexpected parenthesis or bracket.

>> B = [X1;X2;X3;X4]

??? Undefined function or variable 'X1'.

>> B = [5 1 -5 0]

B =

5 1 -5 0

>> b [5;1;-5;0]

??? b [5;1;-5;0]

|

Error: Unbalanced or unexpected parenthesis or bracket.

>> B = [5;1;-5;0]

B =

5

1

-5

0

>>