Sr Examen
Integral de e^(-(x+7)^2/18)/(7.5) dx
Solución
Ha introducido
[src]
-1 / | | 2 | -(x + 7) | ---------- | 18 | E | ----------- dx | 15/2 | / -4
$$\int\limits_{-4}^{-1} \frac{e^{\frac{\left(-1\right) \left(x + 7\right)^{2}}{18}}}{\frac{15}{2}}\, dx$$
Integral(E^((-(x + 7)^2)/18)/(15/2), (x, -4, -1))
Respuesta (Indefinida)
[src]
/ / \
| | |
/ | | 2 |
| | | -7*x -x | -49
| 2 | | ---- ---- | ----
| -(x + 7) | | 9 18 | 18
| ---------- 2*| | e *e dx|*e
| 18 | | |
| E \/ /
| ----------- dx = C + ---------------------------
| 15/2 15
|
/
$$\int \frac{e^{\frac{\left(-1\right) \left(x + 7\right)^{2}}{18}}}{\frac{15}{2}}\, dx = C + \frac{2 \int e^{- \frac{7 x}{9}} e^{- \frac{x^{2}}{18}}\, dx}{15 e^{\frac{49}{18}}}$$
Gráfica
Respuesta
[src]
/ ___\
___ ____ |\/ 2 |
___ ____ / ___\ \/ 2 *\/ pi *erf|-----|
\/ 2 *\/ pi *erf\\/ 2 / \ 2 /
- ----------------------- + -----------------------
5 5
$$- \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\sqrt{2} \right)}}{5} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{\sqrt{2}}{2} \right)}}{5}$$
=
=
/ ___\
___ ____ |\/ 2 |
___ ____ / ___\ \/ 2 *\/ pi *erf|-----|
\/ 2 *\/ pi *erf\\/ 2 / \ 2 /
- ----------------------- + -----------------------
5 5
$$- \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\sqrt{2} \right)}}{5} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{\sqrt{2}}{2} \right)}}{5}$$
-sqrt(2)*sqrt(pi)*erf(sqrt(2))/5 + sqrt(2)*sqrt(pi)*erf(sqrt(2)/2)/5
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.