Sr Examen
Integral de e^(((-x)^2)/2) dx
Solución
Ha introducido
[src]
129 --- 50 / | | 2 | (-x) | ----- | 2 | E dx | / -43 ---- 100
$$\int\limits_{- \frac{43}{100}}^{\frac{129}{50}} e^{\frac{\left(- x\right)^{2}}{2}}\, dx$$
Integral(E^((-x)^2/2), (x, -43/100, 129/50))
Respuesta (Indefinida)
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/ | | 2 / ___\ | (-x) ___ ____ |x*\/ 2 | | ----- \/ 2 *\/ pi *erfi|-------| | 2 \ 2 / | E dx = C + -------------------------- | 2 /
$$\int e^{\frac{\left(- x\right)^{2}}{2}}\, dx = C + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2} x}{2} \right)}}{2}$$
Gráfica
Respuesta
[src]
/ ___\ / ___\
___ ____ |43*\/ 2 | ___ ____ |129*\/ 2 |
\/ 2 *\/ pi *erfi|--------| \/ 2 *\/ pi *erfi|---------|
\ 200 / \ 100 /
--------------------------- + ----------------------------
2 2
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{43 \sqrt{2}}{200} \right)}}{2} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{129 \sqrt{2}}{100} \right)}}{2}$$
=
=
/ ___\ / ___\
___ ____ |43*\/ 2 | ___ ____ |129*\/ 2 |
\/ 2 *\/ pi *erfi|--------| \/ 2 *\/ pi *erfi|---------|
\ 200 / \ 100 /
--------------------------- + ----------------------------
2 2
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{43 \sqrt{2}}{200} \right)}}{2} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{129 \sqrt{2}}{100} \right)}}{2}$$
sqrt(2)*sqrt(pi)*erfi(43*sqrt(2)/200)/2 + sqrt(2)*sqrt(pi)*erfi(129*sqrt(2)/100)/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.