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