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