Sr Examen
Integral de 1/(x^2-1+(5/x^2)) dx
Solución
Ha introducido
[src]
1 / | | 1 | ----------- dx | 2 5 | x - 1 + -- | 2 | x | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(x^{2} - 1\right) + \frac{5}{x^{2}}}\, dx$$
Integral(1/(x^2 - 1 + 5/x^2), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 1 / 4 2 / 3\\ | ----------- dx = C + RootSum\5776*t + 76*t + 5, t -> t*log\x + 2*t + 304*t // | 2 5 | x - 1 + -- | 2 | x | /
$$\int \frac{1}{\left(x^{2} - 1\right) + \frac{5}{x^{2}}}\, dx = C + \operatorname{RootSum} {\left(5776 t^{4} + 76 t^{2} + 5, \left( t \mapsto t \log{\left(304 t^{3} + 2 t + x \right)} \right)\right)}$$
Gráfica
Respuesta
[src]
/ 4 2 / 3\\ / 4 2 / 3\\ - RootSum\5776*t + 76*t + 5, t -> t*log\2*t + 304*t // + RootSum\5776*t + 76*t + 5, t -> t*log\1 + 2*t + 304*t //
$$- \operatorname{RootSum} {\left(5776 t^{4} + 76 t^{2} + 5, \left( t \mapsto t \log{\left(304 t^{3} + 2 t \right)} \right)\right)} + \operatorname{RootSum} {\left(5776 t^{4} + 76 t^{2} + 5, \left( t \mapsto t \log{\left(304 t^{3} + 2 t + 1 \right)} \right)\right)}$$
=
=
/ 4 2 / 3\\ / 4 2 / 3\\ - RootSum\5776*t + 76*t + 5, t -> t*log\2*t + 304*t // + RootSum\5776*t + 76*t + 5, t -> t*log\1 + 2*t + 304*t //
$$- \operatorname{RootSum} {\left(5776 t^{4} + 76 t^{2} + 5, \left( t \mapsto t \log{\left(304 t^{3} + 2 t \right)} \right)\right)} + \operatorname{RootSum} {\left(5776 t^{4} + 76 t^{2} + 5, \left( t \mapsto t \log{\left(304 t^{3} + 2 t + 1 \right)} \right)\right)}$$
-RootSum(5776*_t^4 + 76*_t^2 + 5, Lambda(_t, _t*log(2*_t + 304*_t^3))) + RootSum(5776*_t^4 + 76*_t^2 + 5, Lambda(_t, _t*log(1 + 2*_t + 304*_t^3)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.