Sr Examen
Integral de exp^((-37,27+10,52*x-0,75*x^2)) dx
Solución
Ha introducido
[src]
41/5 / | | 2 | 3727 263*x 3*x | - ---- + ----- - ---- | 100 25 4 | E dx | / 6
$$\int\limits_{6}^{\frac{41}{5}} e^{- \frac{3 x^{2}}{4} + \left(\frac{263 x}{25} - \frac{3727}{100}\right)}\, dx$$
Integral(E^(-3727/100 + 263*x/25 - 3*x^2/4), (x, 6, 41/5))
Respuesta (Indefinida)
[src]
/ / / \ | | | | | 2 | | 2 | | 3727 263*x 3*x | | -3*x 263*x | -3727 | - ---- + ----- - ---- | | ----- ----- | ------ | 100 25 4 | | 4 25 | 100 | E dx = C + | | e *e dx|*e | | | | / \/ /
$$\int e^{- \frac{3 x^{2}}{4} + \left(\frac{263 x}{25} - \frac{3727}{100}\right)}\, dx = C + \frac{\int e^{\frac{263 x}{25}} e^{- \frac{3 x^{2}}{4}}\, dx}{e^{\frac{3727}{100}}}$$
Gráfica
Respuesta
[src]
-2849 -2849
/ ___\ ------ / ___\ ------
___ ____ |38*\/ 3 | 7500 ___ ____ |89*\/ 3 | 7500
\/ 3 *\/ pi *erf|--------|*e \/ 3 *\/ pi *erf|--------|*e
\ 75 / \ 150 /
---------------------------------- + ----------------------------------
3 3
$$\frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}{\left(\frac{38 \sqrt{3}}{75} \right)}}{3 e^{\frac{2849}{7500}}} + \frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}{\left(\frac{89 \sqrt{3}}{150} \right)}}{3 e^{\frac{2849}{7500}}}$$
=
=
-2849 -2849
/ ___\ ------ / ___\ ------
___ ____ |38*\/ 3 | 7500 ___ ____ |89*\/ 3 | 7500
\/ 3 *\/ pi *erf|--------|*e \/ 3 *\/ pi *erf|--------|*e
\ 75 / \ 150 /
---------------------------------- + ----------------------------------
3 3
$$\frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}{\left(\frac{38 \sqrt{3}}{75} \right)}}{3 e^{\frac{2849}{7500}}} + \frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}{\left(\frac{89 \sqrt{3}}{150} \right)}}{3 e^{\frac{2849}{7500}}}$$
sqrt(3)*sqrt(pi)*erf(38*sqrt(3)/75)*exp(-2849/7500)/3 + sqrt(3)*sqrt(pi)*erf(89*sqrt(3)/150)*exp(-2849/7500)/3
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.