Sr Examen
Integral de 1/((2x+3)(ln(x+1))^2) dx
Solución
Ha introducido
[src]
oo / | | 1 | --------------------- dx | 2 | (2*x + 3)*log (x + 1) | / 2
$$\int\limits_{2}^{\infty} \frac{1}{\left(2 x + 3\right) \log{\left(x + 1 \right)}^{2}}\, dx$$
Integral(1/((2*x + 3)*log(x + 1)^2), (x, 2, oo))
Respuesta (Indefinida)
[src]
/ / | | | 1 -1 - x | 1 | --------------------- dx = C + -------------------- + | --------------------- dx | 2 (3 + 2*x)*log(1 + x) | 2 | (2*x + 3)*log (x + 1) | (3 + 2*x) *log(1 + x) | | / /
$$\int \frac{1}{\left(2 x + 3\right) \log{\left(x + 1 \right)}^{2}}\, dx = C + \frac{- x - 1}{\left(2 x + 3\right) \log{\left(x + 1 \right)}} + \int \frac{1}{\left(2 x + 3\right)^{2} \log{\left(x + 1 \right)}}\, dx$$
Respuesta
[src]
oo
/
|
3 | 1
-------- + | --------------------- dx
7*log(3) | 2
| (3 + 2*x) *log(1 + x)
|
/
2
$$\int\limits_{2}^{\infty} \frac{1}{\left(2 x + 3\right)^{2} \log{\left(x + 1 \right)}}\, dx + \frac{3}{7 \log{\left(3 \right)}}$$
=
=
oo
/
|
3 | 1
-------- + | --------------------- dx
7*log(3) | 2
| (3 + 2*x) *log(1 + x)
|
/
2
$$\int\limits_{2}^{\infty} \frac{1}{\left(2 x + 3\right)^{2} \log{\left(x + 1 \right)}}\, dx + \frac{3}{7 \log{\left(3 \right)}}$$
3/(7*log(3)) + Integral(1/((3 + 2*x)^2*log(1 + x)), (x, 2, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.