Sr Examen
Integral de (4x+3)/(ln(2)*(2x^2+3x-2)) dx
Solución
Ha introducido
[src]
2 / | | 4*x + 3 | ----------------------- dx | / 2 \ | log(2)*\2*x + 3*x - 2/ | / 1
$$\int\limits_{1}^{2} \frac{4 x + 3}{\left(\left(2 x^{2} + 3 x\right) - 2\right) \log{\left(2 \right)}}\, dx$$
Integral((4*x + 3)/((log(2)*(2*x^2 + 3*x - 2))), (x, 1, 2))
Respuesta (Indefinida)
[src]
/ | / / 2 \\ | 4*x + 3 log\log(2)*\2*x + 3*x - 2// | ----------------------- dx = C + ---------------------------- | / 2 \ log(2) | log(2)*\2*x + 3*x - 2/ | /
$$\int \frac{4 x + 3}{\left(\left(2 x^{2} + 3 x\right) - 2\right) \log{\left(2 \right)}}\, dx = C + \frac{\log{\left(\left(\left(2 x^{2} + 3 x\right) - 2\right) \log{\left(2 \right)} \right)}}{\log{\left(2 \right)}}$$
Gráfica
Respuesta
[src]
log(12) log(3) ------- - ------ log(2) log(2)
$$- \frac{\log{\left(3 \right)}}{\log{\left(2 \right)}} + \frac{\log{\left(12 \right)}}{\log{\left(2 \right)}}$$
=
=
log(12) log(3) ------- - ------ log(2) log(2)
$$- \frac{\log{\left(3 \right)}}{\log{\left(2 \right)}} + \frac{\log{\left(12 \right)}}{\log{\left(2 \right)}}$$
log(12)/log(2) - log(3)/log(2)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.