Sr Examen
Integral de 1/(1+x^8) dx
Solución
Ha introducido
[src]
1 / | | 1 | ------ dx | 8 | 1 + x | / 0
$$\int\limits_{0}^{1} \frac{1}{x^{8} + 1}\, dx$$
Integral(1/(1 + x^8), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 1 / 8 \ | ------ dx = C + RootSum\16777216*t + 1, t -> t*log(x + 8*t)/ | 8 | 1 + x | /
$$\int \frac{1}{x^{8} + 1}\, dx = C + \operatorname{RootSum} {\left(16777216 t^{8} + 1, \left( t \mapsto t \log{\left(8 t + x \right)} \right)\right)}$$
Gráfica
Respuesta
[src]
/ 8 \ / 8 \ - RootSum\16777216*t + 1, t -> t*log(8*t)/ + RootSum\16777216*t + 1, t -> t*log(1 + 8*t)/
$$- \operatorname{RootSum} {\left(16777216 t^{8} + 1, \left( t \mapsto t \log{\left(8 t \right)} \right)\right)} + \operatorname{RootSum} {\left(16777216 t^{8} + 1, \left( t \mapsto t \log{\left(8 t + 1 \right)} \right)\right)}$$
=
=
/ 8 \ / 8 \ - RootSum\16777216*t + 1, t -> t*log(8*t)/ + RootSum\16777216*t + 1, t -> t*log(1 + 8*t)/
$$- \operatorname{RootSum} {\left(16777216 t^{8} + 1, \left( t \mapsto t \log{\left(8 t \right)} \right)\right)} + \operatorname{RootSum} {\left(16777216 t^{8} + 1, \left( t \mapsto t \log{\left(8 t + 1 \right)} \right)\right)}$$
-RootSum(16777216*_t^8 + 1, Lambda(_t, _t*log(8*_t))) + RootSum(16777216*_t^8 + 1, Lambda(_t, _t*log(1 + 8*_t)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.