Sr Examen
Integral de x*dx/(2*x^2+3*x-2) dx
Solución
Ha introducido
[src]
3 / | | x | -------------- dx | 2 | 2*x + 3*x - 2 | / 2
$$\int\limits_{2}^{3} \frac{x}{\left(2 x^{2} + 3 x\right) - 2}\, dx$$
Integral(x/(2*x^2 + 3*x - 2), (x, 2, 3))
Respuesta (Indefinida)
[src]
/ | / 2 \ | x 3*log(-2 + 4*x) log\-2 + 2*x + 3*x/ 3*log(8 + 4*x) | -------------- dx = C - --------------- + -------------------- + -------------- | 2 20 4 20 | 2*x + 3*x - 2 | /
$$\int \frac{x}{\left(2 x^{2} + 3 x\right) - 2}\, dx = C - \frac{3 \log{\left(4 x - 2 \right)}}{20} + \frac{3 \log{\left(4 x + 8 \right)}}{20} + \frac{\log{\left(2 x^{2} + 3 x - 2 \right)}}{4}$$
Gráfica
Respuesta
[src]
2*log(4) log(3/2) log(5/2) 2*log(5)
- -------- - -------- + -------- + --------
5 10 10 5
$$- \frac{2 \log{\left(4 \right)}}{5} - \frac{\log{\left(\frac{3}{2} \right)}}{10} + \frac{\log{\left(\frac{5}{2} \right)}}{10} + \frac{2 \log{\left(5 \right)}}{5}$$
=
=
2*log(4) log(3/2) log(5/2) 2*log(5)
- -------- - -------- + -------- + --------
5 10 10 5
$$- \frac{2 \log{\left(4 \right)}}{5} - \frac{\log{\left(\frac{3}{2} \right)}}{10} + \frac{\log{\left(\frac{5}{2} \right)}}{10} + \frac{2 \log{\left(5 \right)}}{5}$$
-2*log(4)/5 - log(3/2)/10 + log(5/2)/10 + 2*log(5)/5
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.