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