Sr Examen
Integral de (e^(x-1))/sqrt(x^3+x^4) dx
Solución
Ha introducido
[src]
1 / | | x - 1 | E | ------------ dx | _________ | / 3 4 | \/ x + x | / 0
$$\int\limits_{0}^{1} \frac{e^{x - 1}}{\sqrt{x^{4} + x^{3}}}\, dx$$
Integral(E^(x - 1)/sqrt(x^3 + x^4), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / / \ | | | | | x - 1 | | x | | E | | e | -1 | ------------ dx = C + | | --------------- dx|*e | _________ | | ____________ | | / 3 4 | | / 3 | | \/ x + x | | \/ x *(1 + x) | | | | | / \/ /
$$\int \frac{e^{x - 1}}{\sqrt{x^{4} + x^{3}}}\, dx = C + \frac{\int \frac{e^{x}}{\sqrt{x^{3} \left(x + 1\right)}}\, dx}{e}$$
Respuesta
[src]
/ 1 \ | / | | | | | | x | | | e | -1 | | -------------- dx|*e | | 3/2 _______ | | | x *\/ 1 + x | | | | |/ | \0 /
$$\frac{\int\limits_{0}^{1} \frac{e^{x}}{x^{\frac{3}{2}} \sqrt{x + 1}}\, dx}{e}$$
=
=
/ 1 \ | / | | | | | | x | | | e | -1 | | -------------- dx|*e | | 3/2 _______ | | | x *\/ 1 + x | | | | |/ | \0 /
$$\frac{\int\limits_{0}^{1} \frac{e^{x}}{x^{\frac{3}{2}} \sqrt{x + 1}}\, dx}{e}$$
Integral(exp(x)/(x^(3/2)*sqrt(1 + x)), (x, 0, 1))*exp(-1)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.