Sr Examen
Integral de e^(3x^2+x+2)(2x+2) dx
Solución
Ha introducido
[src]
1 / | | 2 | 3*x + x + 2 | E *(2*x + 2) dx | / 0
$$\int\limits_{0}^{1} e^{\left(3 x^{2} + x\right) + 2} \left(2 x + 2\right)\, dx$$
Integral(E^(3*x^2 + x + 2)*(2*x + 2), (x, 0, 1))
Gráfica
Respuesta
[src]
23 23
/ ___\ -- / ___\ --
___ ____ |\/ 3 | 12 ___ ____ |7*\/ 3 | 12
2 6 5*\/ 3 *\/ pi *erfi|-----|*e 5*\/ 3 *\/ pi *erfi|-------|*e
e e \ 6 / \ 6 /
- -- + -- - ------------------------------ + --------------------------------
3 3 18 18
$$- \frac{e^{2}}{3} - \frac{5 \sqrt{3} \sqrt{\pi} e^{\frac{23}{12}} \operatorname{erfi}{\left(\frac{\sqrt{3}}{6} \right)}}{18} + \frac{5 \sqrt{3} \sqrt{\pi} e^{\frac{23}{12}} \operatorname{erfi}{\left(\frac{7 \sqrt{3}}{6} \right)}}{18} + \frac{e^{6}}{3}$$
=
=
23 23
/ ___\ -- / ___\ --
___ ____ |\/ 3 | 12 ___ ____ |7*\/ 3 | 12
2 6 5*\/ 3 *\/ pi *erfi|-----|*e 5*\/ 3 *\/ pi *erfi|-------|*e
e e \ 6 / \ 6 /
- -- + -- - ------------------------------ + --------------------------------
3 3 18 18
$$- \frac{e^{2}}{3} - \frac{5 \sqrt{3} \sqrt{\pi} e^{\frac{23}{12}} \operatorname{erfi}{\left(\frac{\sqrt{3}}{6} \right)}}{18} + \frac{5 \sqrt{3} \sqrt{\pi} e^{\frac{23}{12}} \operatorname{erfi}{\left(\frac{7 \sqrt{3}}{6} \right)}}{18} + \frac{e^{6}}{3}$$
-exp(2)/3 + exp(6)/3 - 5*sqrt(3)*sqrt(pi)*erfi(sqrt(3)/6)*exp(23/12)/18 + 5*sqrt(3)*sqrt(pi)*erfi(7*sqrt(3)/6)*exp(23/12)/18
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.