Sr Examen
Integral de (4x-2)/((3-x)^3(x^2+1)) dx
Solución
Ha introducido
[src]
1 / | | 4*x - 2 | ----------------- dx | 3 / 2 \ | (3 - x) *\x + 1/ | / 0
$$\int\limits_{0}^{1} \frac{4 x - 2}{\left(3 - x\right)^{3} \left(x^{2} + 1\right)}\, dx$$
Integral((4*x - 2)/(((3 - x)^3*(x^2 + 1))), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | / 2\ | 4*x - 2 1 7*atan(x) 1 log(-3 + x) log\1 + x / | ----------------- dx = C + ----------- - --------- - ---------- - ----------- + ----------- | 3 / 2 \ 2 50 5*(-3 + x) 50 100 | (3 - x) *\x + 1/ 2*(-3 + x) | /
$$\int \frac{4 x - 2}{\left(3 - x\right)^{3} \left(x^{2} + 1\right)}\, dx = C - \frac{\log{\left(x - 3 \right)}}{50} + \frac{\log{\left(x^{2} + 1 \right)}}{100} - \frac{7 \operatorname{atan}{\left(x \right)}}{50} - \frac{1}{5 \left(x - 3\right)} + \frac{1}{2 \left(x - 3\right)^{2}}$$
Gráfica
Respuesta
[src]
37 7*pi log(2) log(3) --- - ---- - ------ + ------ 360 200 100 50
$$- \frac{7 \pi}{200} - \frac{\log{\left(2 \right)}}{100} + \frac{\log{\left(3 \right)}}{50} + \frac{37}{360}$$
=
=
37 7*pi log(2) log(3) --- - ---- - ------ + ------ 360 200 100 50
$$- \frac{7 \pi}{200} - \frac{\log{\left(2 \right)}}{100} + \frac{\log{\left(3 \right)}}{50} + \frac{37}{360}$$
37/360 - 7*pi/200 - log(2)/100 + log(3)/50
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.