Sr Examen
Integral de 1/(x(ln^2(x-4))) dx
Solución
Ha introducido
[src]
1 / | | 1 | ------------- dx | 2 | x*log (x - 4) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \log{\left(x - 4 \right)}^{2}}\, dx$$
Integral(1/(x*log(x - 4)^2), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 4 - x | ------------- dx = C + 4* | -------------- dx + ------------- | 2 | 2 x*log(-4 + x) | x*log (x - 4) | x *log(-4 + x) | | / /
$$\int \frac{1}{x \log{\left(x - 4 \right)}^{2}}\, dx = C + 4 \int \frac{1}{x^{2} \log{\left(x - 4 \right)}}\, dx + \frac{4 - x}{x \log{\left(x - 4 \right)}}$$
Respuesta
[src]
1
/
|
/ 1 \ 3 | 1
- oo*sign|---------------| + ------------- + 4* | -------------- dx
\2*log(2) + pi*I/ pi*I + log(3) | 2
| x *log(-4 + x)
|
/
0
$$4 \int\limits_{0}^{1} \frac{1}{x^{2} \log{\left(x - 4 \right)}}\, dx + \frac{3}{\log{\left(3 \right)} + i \pi} - \infty \operatorname{sign}{\left(\frac{1}{2 \log{\left(2 \right)} + i \pi} \right)}$$
=
=
1
/
|
/ 1 \ 3 | 1
- oo*sign|---------------| + ------------- + 4* | -------------- dx
\2*log(2) + pi*I/ pi*I + log(3) | 2
| x *log(-4 + x)
|
/
0
$$4 \int\limits_{0}^{1} \frac{1}{x^{2} \log{\left(x - 4 \right)}}\, dx + \frac{3}{\log{\left(3 \right)} + i \pi} - \infty \operatorname{sign}{\left(\frac{1}{2 \log{\left(2 \right)} + i \pi} \right)}$$
-oo*sign(1/(2*log(2) + pi*i)) + 3/(pi*i + log(3)) + 4*Integral(1/(x^2*log(-4 + x)), (x, 0, 1))
Respuesta numérica
[src]
(-2.53289028518811 - 2.75711116470497j)
(-2.53289028518811 - 2.75711116470497j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.