Sr Examen
Integral de (x^2+cos(4*x))/(x^6+x+1) dx
Solución
Ha introducido
[src]
oo / | | 2 | x + cos(4*x) | ------------- dx | 6 | x + x + 1 | / 2
$$\int\limits_{2}^{\infty} \frac{x^{2} + \cos{\left(4 x \right)}}{\left(x^{6} + x\right) + 1}\, dx$$
Integral((x^2 + cos(4*x))/(x^6 + x + 1), (x, 2, oo))
Respuesta (Indefinida)
[src]
/ | / | 2 | / / 4 5 3 2 \\ | x + cos(4*x) | cos(4*x) | 6 4 3 2 | 120149527559 71586462219660*t 68806676598750*t 6403538301125*t 6348571040934*t 12262576500*t|| | ------------- dx = C + | ---------- dx + RootSum|43531*t + 3888*t - 100*t + 108*t - t + 1, t -> t*log|- ------------ + x - ----------------- - ----------------- - ---------------- - ---------------- - -------------|| | 6 | 6 \ \ 41852983441 41852983441 41852983441 41852983441 41852983441 41852983441 // | x + x + 1 | 1 + x + x | | / /
$$\int \frac{x^{2} + \cos{\left(4 x \right)}}{\left(x^{6} + x\right) + 1}\, dx = C + \int \frac{\cos{\left(4 x \right)}}{x^{6} + x + 1}\, dx + \operatorname{RootSum} {\left(43531 t^{6} + 3888 t^{4} - 100 t^{3} + 108 t^{2} - t + 1, \left( t \mapsto t \log{\left(- \frac{68806676598750 t^{5}}{41852983441} - \frac{71586462219660 t^{4}}{41852983441} - \frac{6403538301125 t^{3}}{41852983441} - \frac{6348571040934 t^{2}}{41852983441} - \frac{12262576500 t}{41852983441} + x - \frac{120149527559}{41852983441} \right)} \right)\right)}$$
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.