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Integration
VX4792 User Manual
The integ() function integrates numerically based on a trapezoidal formula. The
trapezoidal formula is expressed with the following equation:
n
) ) f (x
f (x
f (x)dx [
i–1
2
i+1
+ D x
) ) 2f (x
) ) 2f (x
{f (x
1
2
2
Here, n is the number of waveform points and i is an integer in the range, i = 1,
2, ..., n.
f(x
f(x
)
i-1
nx
x
x
i
i-1
Figure G-2: Equation Integration
The integration is actually calculated with the following formula:
f (x)dx [ 1 2{f (x
) ) 2f (x
1
However, the imaginary initial value f(x
)
@ Dx
i
) ) AAA ) 2f (x
) ) f (x
n
3
n–1
)
i
f(x
)
i+1
x
x
i
i+1
) ) 2f (x
) ) AAA ) 2f (x
2
3
n–1
) always takes a value of 0.
0
Appendix G: Functions
)}
x
n
) ) f (x
)}
n
G-3
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