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