tabela kurt beyer

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Integral do Produto de duas Funções : ( ) ( )∫ s0 .. dxxgxf 
 
TABELA DE 
KURT 
BEYER 
 
 
 
 
 
 
 
 
s.i.k ki..s.2
1
 ( )21..s.2
1 kki + ki..s.
3
2
 ki..s.
3
2
 ki..s.
3
1
 ki..s.
2
1
 
 
 
 
ki..s.
2
1
 ki..s.
3
1
 ( )21 .2..s.6
1 kki + ki..s.
3
1
 ki..s.
12
5
 ki..s.
4
1
 ( )α+1...s.
6
1 ki 
 
 
 
ki..s.
2
1
 ki..s.
6
1
 ( )21.2..s.6
1 kki + ki..s.
3
1
 ki..s.
4
1
 ki..s.
12
1
 ( )β+1...s.
6
1 ki 
 
 
 
( )21..s.2
1 iik +
 
( )21 .2..s.6
1 iik + [ ]22122111 ..2....2s..6
1 kikikiki +++ ( )21..s.3
1 iik + ( )21 .5.3..s.12
1 iik +
 
( )21 .3...s.12
1 iik + ( ) ( )[ ]21 .1.1..s.6
1 iik αβ +++
 
 
 
 
ki..s.
3
2
 ki..s.
3
1
 ( )21..s.3
1 kki + ki..s.
15
8
 ki..s.
15
7
 ki..s.
5
1
 ( )βα .1...s.
3
1 +ki 
 
 
 
ki..s.
3
2
 ki..s.
12
5
 ( )21 .5.3..s.12
1 kki + ki..s.
15
7
 ki..s.
15
8
 ki..s.
10
3
 ( )25..s.121 ββ −−ki
 
 
 
 
ki..s.
3
2
 ki..s.
4
1
 ( )21 .3.5..s.12
1 kki + ki..s.
15
7
 ki..s.
30
11
 ki..s.
15
2
 ( )25..s.
12
1 αα −−ki 
 
 
 
ki..s.
3
1
 ki..s.
4
1
 ( )21 .3..s.12
1 kki + ki..s.
5
1
 ki..s.
10
3
 ki..s.
5
1
 ( )21..s.
12
1 αα ++ki 
 
 
 
ki..s.
3
1
 ki..s.
12
1
 ( )21.3..s.12
1 kki + ki..s.
5
1
 ki..s.
15
2
 ki..s.
30
1
 ( )21..s.121 ββ ++ki 
 
 
 
ki..s.
2
1
 ( )α+1...s.
6
1 ki ( ) ( )[ ]21 .1.1.s.6
1 kki αβ +++ ( )βα.1...s.
3
1 +ki
 
( )25..s.
12
1 ββ −−ki ( )21..s.
12
1 αα ++ki
 
ki..s.
3
1
 
 
ESTÁTICA DAS ESTRUTURAS I - PROF. IBERÊ 1 / 3 
k s 
s 
i 
s 
k
s 
i 
s 
k1 k2 
s 
k 
s 
k s 
k k 
α.s β.s 
s 
i 
s 
i1 i2 
s 
i 
s 
i 
s 
i 
s 
i 
s 
i 
i 
α.s β.s 
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