Laporan Akhir Integral

8/17/2019 Laporan Akhir Integral

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Nama : Aal Awaliah

NIM : 3215126536

Prodi : Pendidikan Fisika Nonreguler 2012

Problem S a emen : Membua !rogram men"ari in egrasi sua u #ungsidengan me ode ra!esium dan a uran Sim!son 1$3

Ma hema i"al %&ua ion :

1. f(x) =1

1 + x

2. h =

b− a

n

3. A = h *f ( x)+f ( x+h )

2

4. S =h3 [f ( xo)+2 ∑ j= 1

n2 − 1

f ( x2 j)+4 ∑ j= 1

n/ 2

f ( x2 j− 1 )+f ( xn)]Algori hm :

Algori hm o# i le #un" ion

de# 'udul ():1* "e ak 'udul !rogram2* "e ak nama+ nim+ !rodi3* "e ak #ungsi ,ang dimiliki-* "e ak ba as in egral

Algori hm o# #ungsi #un" ion

de# #ungsi (.):

re urn 1$(1/.)

Algori hm o# ra!esium #un" ion

de# ra!esium (.+,+ ) :1* A 0*02* h oa ((, .)$ )3* #or i in range ( ) :

a* A/ h4(#ungsi (.)/#ungsi (./h))$2b* ./ h

-* re urn A

Algori hm o# Sim!son #un" ion


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de# sim!son (.+,+ ):1* S #ungsi (.)2* h oa ((, .)$ )3* #or i in range (1+ + 2) :

a* .. ./h4i

b* S/ -4#ungsi (..)-* #or i in range(2+ 1+ 2):a* .. ./h4ib* S/ 24#ungsi (..)

5* S/ #ungsi (,)6* h4S$3

* re urn

Algori hm o# able #un" ion

de# abel (.+,+ ) :1* "e ak 'udul abel (i 7an,ak 7ilah8ra!esium Sim!son 1$3)2* #or i in range (10) :

!rin i/1+.9i +,9i ++ 9i

Algori hm o# main !rogram

1* 'udul ()2* a+b+n 0*0+1*0+23* bua 3 lis kosong (N+8+S 9 +9 +9 )-* while n; 20 :

a* ra!esium (a+b+n)b* s sim!son (a+b+n)"* N*a!!end (n)d* 8*a!!end ( )e* S*a!!end (s)#* n/ 2

5* abel (N+8+S)

Flow"har :

Flow"har o# i le #un" ion Flow"har o# #ungsi #un" ion

Flow"har o# ra!esium #un" ion

'udul ():

#ungsi (.):

!rin 'udul!rin nama+ nim+ !rodi!rin #ungsi ,g dimiliki

!rin ba as in egral

re urn 1$(1/.)

end

ra!esium (.+,+ ):


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,es no

Flow"har o# Sim!son #un" ion

no

,es

,es no

Flow"har o# able #un" ion Flow"har o# main!rogram

A 0*0h oa ((, .)$ )

#or i in range (n) :

A/ h4(#ungsi (")/#ungsi ("/h))$2re urn A

./ h

sim!son (.+,+ ):

S #ungsi (.)

h oa (( .)$ )

#or i in range (1+ +2) :

#or i in range (2+ 1+ 2):

.. ./h4i

.. ./h4i S/ #ungsi (,)

S/ -4#ungsi (..)

h4S$3S/ 24#ungsi (..)

re urn


4/6

,es no

,es no


5/6

=a, >u Program :


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Laporan Akhir Integral