CÁLCULO GRACELI SINTÉTICO [20]

a_n

a_{{n-1}}

x^{k}

k

d^{k}y \over dx^{k}

n!

/ [pw] }

{\sqrt {\frac {2}{\pi }}}

({\frac {\pi }{2}})^{1/2}

{\frac {\pi }{2}}t^{2}

} [-1] * [PW

n!

].......

$(f\cdot g)^{(n)}=\sum _{k=0}^{n}{n \choose k}f^{(k)}g^{(n-k)}$ , ${n \choose k}$ f $\sum _{i=1}^{n}f(x_{i}^{*})\cdot \Delta x$ .

g $\int _{a}^{b}f(x)\,\mathrm {d} x.$ [ ${\frac {\pi }{2}}t^{2}$ ] $\zeta (s)\ =\ \sum _{{n=1}}^{\infty }\ {\frac {1}{n^{s}}}.$ { [nx] $n!$ / [pw] =

f [x] ${n \choose k}$ f $\sum _{i=1}^{n}f(x_{i}^{*})\cdot \Delta x$ . $\int _{a}^{b}f(x)\,\mathrm {d} x.$ [ ${\frac {\pi }{2}}t^{2}$ ] $\zeta (s)\ =\ \sum _{{n=1}}^{\infty }\ {\frac {1}{n^{s}}}.$ { [nx] $n!$ / [pw]

$\int _{-\infty }^{\infty }e^{-x^{2}}\,dx={\sqrt {\pi }}.$ $\int _{a}^{b}f(x)\,\mathrm {d} x.$ COS [ ${\frac {\pi }{2}}t^{2}$ ] $\zeta (s)\ =\ \sum _{{n=1}}^{\infty }\ {\frac {1}{n^{s}}}.$ { [nx] $n!$ / [pw]

$S(x)=\int _{0}^{x}\sin(t^{2})\,dt,\quad C(x)=\int _{0}^{x}\cos(t^{2})\,dt.$ { $\int _{a}^{b}f(x)\,\mathrm {d} x.$ [ ${\frac {\pi }{2}}t^{2}$ ] $\zeta (s)\ =\ \sum _{{n=1}}^{\infty }\ {\frac {1}{n^{s}}}.$ { [nx] $n!$ / [pw] }

f [x] G = COS ${n \choose k}$ f $\sum _{i=1}^{n}f(x_{i}^{*})\cdot \Delta x$ . ${\sqrt {\frac {2}{\pi }}}$ + $({\frac {\pi }{2}})^{1/2}$ .+ ${\frac {\pi }{2}}t^{2}$ =

f [x] G = SEN ${n \choose k}$ f $\sum _{i=1}^{n}f(x_{i}^{*})\cdot \Delta x$ . ${\sqrt {\frac {2}{\pi }}}$ + $({\frac {\pi }{2}})^{1/2}$ .+ ${\frac {\pi }{2}}t^{2}$ =

${\sqrt {\frac {2}{\pi }}}$ + $({\frac {\pi }{2}})^{1/2}$ .+ ${\frac {\pi }{2}}t^{2}$ =

$f[x] G = x COS$ ${n \choose k}$ $\sum _{i=1}^{n}f(x_{i}^{*})\cdot \Delta x$ . $\zeta (s)\ =\ \sum _{{n=1}}^{\infty }\ {\frac {1}{n^{s}}}.$ { [nx] $n!$ / [pw] } ${\sqrt {\frac {2}{\pi }}}$ + $({\frac {\pi }{2}})^{1/2}$ .+ ${\frac {\pi }{2}}t^{2}$ =

$f[x] G = x SEN$ ${n \choose k}$ $\sum _{i=1}^{n}f(x_{i}^{*})\cdot \Delta x$ . $\zeta (s)\ =\ \sum _{{n=1}}^{\infty }\ {\frac {1}{n^{s}}}.$ { [nx] $n!$ / [pw] } ${\sqrt {\frac {2}{\pi }}}$ + $({\frac {\pi }{2}})^{1/2}$ .+ ${\frac {\pi }{2}}t^{2}$ =

$a_0$ ${n \choose k}$ $\sum _{i=1}^{n}f(x_{i}^{*})\cdot \Delta x$ . $\zeta (s)\ =\ \sum _{{n=1}}^{\infty }\ {\frac {1}{n^{s}}}.$ { [nx] $n!$ / [pw] } ${\sqrt {\frac {2}{\pi }}}$ + $({\frac {\pi }{2}})^{1/2}$ .+ ${\frac {\pi }{2}}t^{2}$ }

{ $a_n$ + cos ${n \choose k}$ $\sum _{i=1}^{n}f(x_{i}^{*})\cdot \Delta x$ . $\zeta (s)\ =\ \sum _{{n=1}}^{\infty }\ {\frac {1}{n^{s}}}.$ { [nx] $n!$ / [pw] } ${\sqrt {\frac {2}{\pi }}}$ + $({\frac {\pi }{2}})^{1/2}$ .+ ${\frac {\pi }{2}}t^{2}$ }

[ $b_n$ ${n \choose k}$ $\sum _{i=1}^{n}f(x_{i}^{*})\cdot \Delta x$ . $\zeta (s)\ =\ \sum _{{n=1}}^{\infty }\ {\frac {1}{n^{s}}}.$ { [nx] $n!$ / [pw] } ${\sqrt {\frac {2}{\pi }}}$ + $({\frac {\pi }{2}})^{1/2}$ .+ ${\frac {\pi }{2}}t^{2}$ }

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CÁLCULO GRACELI SINTÉTICO [20]

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