Sr Examen
Integral de (x^4+12)/((x+12)(x+7)) dx
Solución
Ha introducido
[src]
1 / | | 4 | x + 12 | ---------------- dx | (x + 12)*(x + 7) | / 0
$$\int\limits_{0}^{1} \frac{x^{4} + 12}{\left(x + 7\right) \left(x + 12\right)}\, dx$$
Integral((x^4 + 12)/(((x + 12)*(x + 7))), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 4 2 3 | x + 12 20748*log(12 + x) 19*x x 2413*log(7 + x) | ---------------- dx = C + 277*x - ----------------- - ----- + -- + --------------- | (x + 12)*(x + 7) 5 2 3 5 | /
$$\int \frac{x^{4} + 12}{\left(x + 7\right) \left(x + 12\right)}\, dx = C + \frac{x^{3}}{3} - \frac{19 x^{2}}{2} + 277 x + \frac{2413 \log{\left(x + 7 \right)}}{5} - \frac{20748 \log{\left(x + 12 \right)}}{5}$$
Gráfica
Respuesta
[src]
1607 20748*log(13) 2413*log(7) 2413*log(8) 20748*log(12) ---- - ------------- - ----------- + ----------- + ------------- 6 5 5 5 5
$$- \frac{20748 \log{\left(13 \right)}}{5} - \frac{2413 \log{\left(7 \right)}}{5} + \frac{1607}{6} + \frac{2413 \log{\left(8 \right)}}{5} + \frac{20748 \log{\left(12 \right)}}{5}$$
=
=
1607 20748*log(13) 2413*log(7) 2413*log(8) 20748*log(12) ---- - ------------- - ----------- + ----------- + ------------- 6 5 5 5 5
$$- \frac{20748 \log{\left(13 \right)}}{5} - \frac{2413 \log{\left(7 \right)}}{5} + \frac{1607}{6} + \frac{2413 \log{\left(8 \right)}}{5} + \frac{20748 \log{\left(12 \right)}}{5}$$
1607/6 - 20748*log(13)/5 - 2413*log(7)/5 + 2413*log(8)/5 + 20748*log(12)/5
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.