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