tugas metodenumerik

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integral numerik

Transcript of tugas metodenumerik

1

metode persegi (raimann)h= 0.2

x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 3 3.952 4.776 5.424 5.848 6 5.832

`= 0,2 ×48,4 9.68

metode trapezoidah= 0.2

x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 3 3.952 4.776 5.424 5.848 6 5.832

`= h/2(f0+2f1+2f2+.....+fn)`=0,2/2(3+1+2(3,952+4776+5,424+5,848+6+5,832+5,296+4,344+2,928))

= 9.28

metode Simsonh= 0.2

x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 3 3.952 4.776 5.424 5.848 6 5.832

`=0,2/3(3+1+4(3,952+5,424+6+5,296+4,344)+2(4,776+5,848+5,832+4,344))

9.33333333

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metode persegi (raimann)h= 0.2

x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 0 0.244281 0.59673 1.093271 1.780433 2.718282 3.98414

`= 0,2 ×48,4 9.937349

metode trapezoida

∫24_0^2▒〖− x^3−x^2+5x+3ⅆx〗

∫24_0^2▒〖− x^3−x^2+5x+3ⅆx=h.∑24_ =0) ((� ^�▒� �_� ) 〗

∆�/3 )+[�(� (� �)+4∑24_ =1)^ −1) ) +2(� (� ▒�(�� ∑_ =(� 2)^ −(� 2) ) ▒�(�� ]

∫24_0^2▒〖 ⅆxx�^� 〗

h= 0.2x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 0 0.244281 0.59673 1.093271 1.780433 2.718282 3.98414

`= h/2(f0+2f1+2f2+.....+fn)`=0,2/2(3+1+2(3,952+4776+5,424+5,848+6+5,832+5,296+4,344+2,928))

= 8.459538

metode Simsonh= 0.2

x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 0 0.244281 0.59673 1.093271 1.780433 2.718282 3.98414

`=0,2/3(3+1+4(3,952+5,424+6+5,296+4,344)+2(4,776+5,848+5,832+4,344))

8.38935587

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metode persegi (raimann)h= 0.314159

x 0 0,2∏ 0,3∏ 0,4∏ 0,5∏ 0,6∏f(x) 4 4.010966 4.021932 4.032897 4.043861 4.054824 4.065785

`= 0,2 ×48,4 14.01244

metode trapezoidah= 0.314159

x 0 0,2∏ 0,3∏ 0,4∏ 0,5∏ 0,6∏f(x) 4 4.010966 4.021932 4.032897 4.043861 4.054824 4.065785

`= h/2(f0+2f1+2f2+.....+fn)`=0,2/2(3+1+2(3,952+4776+5,424+5,848+6+5,832+5,296+4,344+2,928))

= 12.73858

metode Simsonh= 0.314159

x 0 0,2∏ 0,3∏ 0,4∏ 0,5∏ 0,6∏f(x) 4 4.010966 4.021932 4.032897 4.043861 4.054824 4.065785

`=0,2/3(3+1+4(3,952+5,424+6+5,296+4,344)+2(4,776+5,848+5,832+4,344))

0,1∏

0,1∏

0,1∏

∆�/3 )+[�(� (� �)+4∑24_ =1)^ −1) ) +2(� (� ▒�(�� ∑_ =(� 2)^ −(� 2) ) ▒�(�� ]

∫24_0^π▒(4+2 sin )ⅆx�

∆�/3 )+[�(� (� �)+4∑24_ =1)^ −1) ) +2(� (� ▒�(�� ∑_ =(� 2)^ −(� 2) ) ▒�(�� ]

12.7385846

1.4 1.6 1.8 2 ∑5.296 4.344 2.928 1 48.4

1.4 1.6 1.8 2 ∑5.296 4.344 2.928 1 48.4

1.4 1.6 1.8 2 ∑ untuk rumus yg ini jangan liat materi yang punya pak arif soalny salah. Ikutin rumusyang udah di tulis disini5.296 4.344 2.928 1 48.4

`=0,2/3(3+1+4(3,952+5,424+6+5,296+4,344)+2(4,776+5,848+5,832+4,344))

fungsi integral langsungny 1.4 1.6 1.8 2 ∑ 8.389056

5.67728 7.924852 10.88937 14.77811 49.68675

18.45611

1.4 1.6 1.8 2 ∑5.67728 7.924852 10.88937 14.77811 49.68675

0.840165

1.4 1.6 1.8 2 ∑5.67728 7.924852 10.88937 14.77811 49.68675

`=0,2/3(3+1+4(3,952+5,424+6+5,296+4,344)+2(4,776+5,848+5,832+4,344))

0,7∏ 0,8∏ 0,9∏ ∏ ∑ fungsi integral langsungny 4.076745 4.087702 4.098656 4.109607 44.60298 12.73858

9.999963

0,7∏ 0,8∏ 0,9∏ ∏ ∑4.076745 4.087702 4.098656 4.109607 44.60298

0,7∏ 0,8∏ 0,9∏ ∏ ∑4.076745 4.087702 4.098656 4.109607 44.60298

`=0,2/3(3+1+4(3,952+5,424+6+5,296+4,344)+2(4,776+5,848+5,832+4,344))

fungsi integral langsungny 9.333333 3.952

untuk rumus yg ini jangan liat materi yang punya pak arif soalny salah. Ikutin rumusyang udah di tulis disini

fungsi integral langsungny

fungsi integral langsungny

18 360.314159 0.6283190.314159