Sr Examen
Integral de 1/((5x+3)ln(5x+3)) dx
Solución
Ha introducido
[src]
1 / | | 1 | ---------------------- dx | (5*x + 3)*log(5*x + 3) | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(5 x + 3\right) \log{\left(5 x + 3 \right)}}\, dx$$
Integral(1/((5*x + 3)*log(5*x + 3)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 1 log(log(3 + 5*x)) | ---------------------- dx = C + ----------------- | (5*x + 3)*log(5*x + 3) 5 | /
$$\int \frac{1}{\left(5 x + 3\right) \log{\left(5 x + 3 \right)}}\, dx = C + \frac{\log{\left(\log{\left(5 x + 3 \right)} \right)}}{5}$$
Gráfica
Respuesta
[src]
log(log(3)) log(log(8))
- ----------- + -----------
5 5
$$- \frac{\log{\left(\log{\left(3 \right)} \right)}}{5} + \frac{\log{\left(\log{\left(8 \right)} \right)}}{5}$$
=
=
log(log(3)) log(log(8))
- ----------- + -----------
5 5
$$- \frac{\log{\left(\log{\left(3 \right)} \right)}}{5} + \frac{\log{\left(\log{\left(8 \right)} \right)}}{5}$$
-log(log(3))/5 + log(log(8))/5
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.