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Commit
fe8b4888
authored
Feb 06, 2025
by
Parameswaran Ajith
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Lab.pdf
integration.tex
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integration.tex
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fe8b4888
\subsection
{
N
umerical integration
}
\subsection
{
N
ewton–Cotes formulas
}
We derived the following formulas for evaluating the following integral numerically:
$
I
=
\int
_{
x
_
1
}^{
x
_
2
}
f
(
x
)
\,
dx.
$
\begin{eqnarray}
\mathit
{
Midpoint~rule:
}
&
I = h
\,
f(
\frac
{
x
_
1+x
_
2
}{
2
}
) +
\mathcal
{
O
}
\,
(h
^
3)
\\
...
...
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