Sr Examen
Integral de 1/(x^2-(3*x-5)^2) dx
Solución
Ha introducido
[src]
0 / | | 1 | --------------- dx | 2 2 | x - (3*x - 5) | / -1
$$\int\limits_{-1}^{0} \frac{1}{x^{2} - \left(3 x - 5\right)^{2}}\, dx$$
Integral(1/(x^2 - (3*x - 5)^2), (x, -1, 0))
Respuesta (Indefinida)
[src]
/ | | 1 log(-5 + 2*x) log(-5 + 4*x) | --------------- dx = C - ------------- + ------------- | 2 2 10 10 | x - (3*x - 5) | /
$$\int \frac{1}{x^{2} - \left(3 x - 5\right)^{2}}\, dx = C - \frac{\log{\left(2 x - 5 \right)}}{10} + \frac{\log{\left(4 x - 5 \right)}}{10}$$
Gráfica
Respuesta
[src]
log(5/2) log(9/4) log(5/4) log(7/2)
- -------- - -------- + -------- + --------
10 10 10 10
$$- \frac{\log{\left(\frac{5}{2} \right)}}{10} - \frac{\log{\left(\frac{9}{4} \right)}}{10} + \frac{\log{\left(\frac{5}{4} \right)}}{10} + \frac{\log{\left(\frac{7}{2} \right)}}{10}$$
=
=
log(5/2) log(9/4) log(5/4) log(7/2)
- -------- - -------- + -------- + --------
10 10 10 10
$$- \frac{\log{\left(\frac{5}{2} \right)}}{10} - \frac{\log{\left(\frac{9}{4} \right)}}{10} + \frac{\log{\left(\frac{5}{4} \right)}}{10} + \frac{\log{\left(\frac{7}{2} \right)}}{10}$$
-log(5/2)/10 - log(9/4)/10 + log(5/4)/10 + log(7/2)/10
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.