tabela integração kurt beyer

Integral do Produto de duas Funções : ( ) ( )∫s

0 .. dxxgxf

TABELA DE KURT

BEYER

s.i.k ki..s.2

1 ( )21..s.

2

1kki + 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

1kki + ki..s.

3

1 ki..s.

12

5 ki..s.

4

1 ( )α+1...s.

6

1ki

ki..s.2

1 ki..s.

6

1 ( )21.2..s.

6

1kki + ki..s.

3

1 ki..s.

4

1 ki..s.

12

1 ( )β+1...s.

6

1ki

( )21..s.2

1iik +

( )21 .2..s.6

1iik + [ ]22122111 ..2....2s..

6

1kikikiki +++ ( )21..s.

3

1iik + ( )21 .5.3..s.

12

1iik +

( )21 .3...s.12

1iik + ( ) ( )[ ]21 .1.1..s.

6

1iik αβ +++

ki..s.3

2 ki..s.

3

1 ( )21..s.

3

1kki + 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

1kki + ki..s.

15

7 ki..s.

15

8 ki..s.

10

3 ( )25..s.

12

1 ββ −−ki

ki..s.3

2 ki..s.

4

1 ( )21 .3.5..s.

12

1kki + 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

1kki + 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

1kki + ki..s.

5

1 ki..s.

15

2 ki..s.

30

1 ( )21..s.

12

1 ββ ++ki

ki..s.2

1 ( )α+1...s.

6

1ki ( ) ( )[ ]21 .1.1.s.

6

1kki 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