Sr Examen
Integral de (x^2)/3+x/4-inf*sign(x) dx
Solución
Ha introducido
[src]
oo / | | / 2 \ | |x x | | |-- + - - oo*sign(x)| dx | \3 4 / | / 0
$$\int\limits_{0}^{\infty} \left(\left(\frac{x^{2}}{3} + \frac{x}{4}\right) - \infty \operatorname{sign}{\left(x \right)}\right)\, dx$$
Integral(x^2/3 + x/4 - oo*sign(x), (x, 0, oo))
Respuesta (Indefinida)
[src]
/ | | / 2 \ / 2 3 | |x x | | x x | |-- + - - oo*sign(x)| dx = C - oo* | sign(x) dx + -- + -- | \3 4 / | 8 9 | / /
$$\int \left(\left(\frac{x^{2}}{3} + \frac{x}{4}\right) - \infty \operatorname{sign}{\left(x \right)}\right)\, dx = C + \frac{x^{3}}{9} + \frac{x^{2}}{8} - \infty \int \operatorname{sign}{\left(x \right)}\, dx$$
Respuesta
[src]
oo
oo oo /
/ / |
| | | 2
| -oo*sign(x) dx + | 3*x dx + | 4*x dx
| | |
/ / /
0 0 0
---------------------------------------------
12
$$\frac{\int\limits_{0}^{\infty} \left(- \infty \operatorname{sign}{\left(x \right)}\right)\, dx + \int\limits_{0}^{\infty} 3 x\, dx + \int\limits_{0}^{\infty} 4 x^{2}\, dx}{12}$$
=
=
oo
oo oo /
/ / |
| | | 2
| -oo*sign(x) dx + | 3*x dx + | 4*x dx
| | |
/ / /
0 0 0
---------------------------------------------
12
$$\frac{\int\limits_{0}^{\infty} \left(- \infty \operatorname{sign}{\left(x \right)}\right)\, dx + \int\limits_{0}^{\infty} 3 x\, dx + \int\limits_{0}^{\infty} 4 x^{2}\, dx}{12}$$
(Integral(-oo*sign(x), (x, 0, oo)) + Integral(3*x, (x, 0, oo)) + Integral(4*x^2, (x, 0, oo)))/12
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.