Sr Examen
Integral de e^(-(x-8)^2/50) dx
Solución
Ha introducido
[src]
1 / | | 2 | -(x - 8) | ---------- | 50 | E dx | / 0
$$\int\limits_{0}^{1} e^{\frac{\left(-1\right) \left(x - 8\right)^{2}}{50}}\, dx$$
Integral(E^((-(x - 8)^2)/50), (x, 0, 1))
Respuesta (Indefinida)
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/ / / \ | | | | | 2 | | 2 | | -(x - 8) | | -x 8*x | -32 | ---------- | | ---- --- | ---- | 50 | | 50 25 | 25 | E dx = C + | | e *e dx|*e | | | | / \/ /
$$\int e^{\frac{\left(-1\right) \left(x - 8\right)^{2}}{50}}\, dx = C + \frac{\int e^{\frac{8 x}{25}} e^{- \frac{x^{2}}{50}}\, dx}{e^{\frac{32}{25}}}$$
Gráfica
Respuesta
[src]
/ ___\ / ___\
___ ____ |7*\/ 2 | ___ ____ |4*\/ 2 |
5*\/ 2 *\/ pi *erf|-------| 5*\/ 2 *\/ pi *erf|-------|
\ 10 / \ 5 /
- --------------------------- + ---------------------------
2 2
$$- \frac{5 \sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{7 \sqrt{2}}{10} \right)}}{2} + \frac{5 \sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{4 \sqrt{2}}{5} \right)}}{2}$$
=
=
/ ___\ / ___\
___ ____ |7*\/ 2 | ___ ____ |4*\/ 2 |
5*\/ 2 *\/ pi *erf|-------| 5*\/ 2 *\/ pi *erf|-------|
\ 10 / \ 5 /
- --------------------------- + ---------------------------
2 2
$$- \frac{5 \sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{7 \sqrt{2}}{10} \right)}}{2} + \frac{5 \sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{4 \sqrt{2}}{5} \right)}}{2}$$
-5*sqrt(2)*sqrt(pi)*erf(7*sqrt(2)/10)/2 + 5*sqrt(2)*sqrt(pi)*erf(4*sqrt(2)/5)/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.