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