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