Sr Examen
Integral de (4x+3)/((x+4)^2(x-3)) dx
Solución
Ha introducido
[src]
1 / | | 4*x + 3 | ---------------- dx | 2 | (x + 4) *(x - 3) | / 0
$$\int\limits_{0}^{1} \frac{4 x + 3}{\left(x - 3\right) \left(x + 4\right)^{2}}\, dx$$
Integral((4*x + 3)/(((x + 4)^2*(x - 3))), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 4*x + 3 15*log(4 + x) 13 15*log(-3 + x) | ---------------- dx = C - ------------- - --------- + -------------- | 2 49 7*(4 + x) 49 | (x + 4) *(x - 3) | /
$$\int \frac{4 x + 3}{\left(x - 3\right) \left(x + 4\right)^{2}}\, dx = C + \frac{15 \log{\left(x - 3 \right)}}{49} - \frac{15 \log{\left(x + 4 \right)}}{49} - \frac{13}{7 \left(x + 4\right)}$$
Gráfica
Respuesta
[src]
13 15*log(3) 15*log(5) 15*log(2) 15*log(4) --- - --------- - --------- + --------- + --------- 140 49 49 49 49
$$- \frac{15 \log{\left(5 \right)}}{49} - \frac{15 \log{\left(3 \right)}}{49} + \frac{13}{140} + \frac{15 \log{\left(2 \right)}}{49} + \frac{15 \log{\left(4 \right)}}{49}$$
=
=
13 15*log(3) 15*log(5) 15*log(2) 15*log(4) --- - --------- - --------- + --------- + --------- 140 49 49 49 49
$$- \frac{15 \log{\left(5 \right)}}{49} - \frac{15 \log{\left(3 \right)}}{49} + \frac{13}{140} + \frac{15 \log{\left(2 \right)}}{49} + \frac{15 \log{\left(4 \right)}}{49}$$
13/140 - 15*log(3)/49 - 15*log(5)/49 + 15*log(2)/49 + 15*log(4)/49
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.