Sr Examen
Integral de x/ln^3(1+3x) dx
Solución
Ha introducido
[src]
2 / | | x | ------------- dx | 3 | log (1 + 3*x) | / 0
$$\int\limits_{0}^{2} \frac{x}{\log{\left(3 x + 1 \right)}^{3}}\, dx$$
Integral(x/log(1 + 3*x)^3, (x, 0, 2))
Respuesta (Indefinida)
[src]
/ /
| |
| 1 | 4*x
| ------------ dx + | ------------ dx
/ | log(1 + 3*x) | log(1 + 3*x)
| | | 2 / 2 \
| x / / - 9*x - 3*x + \-1 - 18*x - 9*x/*log(1 + 3*x)
| ------------- dx = C + --------------------------------------- + ----------------------------------------------
| 3 2 2
| log (1 + 3*x) 18*log (1 + 3*x)
|
/
$$\int \frac{x}{\log{\left(3 x + 1 \right)}^{3}}\, dx = C + \frac{\int \frac{4 x}{\log{\left(3 x + 1 \right)}}\, dx + \int \frac{1}{\log{\left(3 x + 1 \right)}}\, dx}{2} + \frac{- 9 x^{2} - 3 x + \left(- 18 x^{2} - 9 x - 1\right) \log{\left(3 x + 1 \right)}}{18 \log{\left(3 x + 1 \right)}^{2}}$$
Respuesta
[src]
2 / | | x | ------------- dx | 3 | log (1 + 3*x) | / 0
$$\int\limits_{0}^{2} \frac{x}{\log{\left(3 x + 1 \right)}^{3}}\, dx$$
=
=
2 / | | x | ------------- dx | 3 | log (1 + 3*x) | / 0
$$\int\limits_{0}^{2} \frac{x}{\log{\left(3 x + 1 \right)}^{3}}\, dx$$
Integral(x/log(1 + 3*x)^3, (x, 0, 2))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.