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Resolución de integrales/ 2*x^9/ 2*x/(2*x^9+1)

Integral de 2*x/(2*x^9+1) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1            
  /            
 |             
 |    2*x      
 |  -------- dx
 |     9       
 |  2*x  + 1   
 |             
/              
0
∫012x2x9+1 dx\int\limits_{0}^{1} \frac{2 x}{2 x^{9} + 1}\, dx 
Integral((2*x)/(2*x^9 + 1), (x, 0, 1))
Respuesta (Indefinida) [src] 
  /                                                                         
 |                                                                          
 |   2*x                      /            9                /            5\\
 | -------- dx = C + 2*RootSum\1549681956*t  + 1, t -> t*log\x - 118098*t //
 |    9                                                                     
 | 2*x  + 1                                                                 
 |                                                                          
/
∫2x2x9+1 dx=C+2RootSum⁡(1549681956t9+1,(t↦tlog⁡(−118098t5+x)))\int \frac{2 x}{2 x^{9} + 1}\, dx = C + 2 \operatorname{RootSum} {\left(1549681956 t^{9} + 1, \left( t \mapsto t \log{\left(- 118098 t^{5} + x \right)} \right)\right)}
Simplificar
Gráfica
0.001.000.100.200.300.400.500.600.700.800.902.5-2.5
Trazar el gráfico f(x)
Respuesta [src] 
           /            9                /         5\\            /            9                /            5\\
- 2*RootSum\1549681956*t  + 1, t -> t*log\-118098*t // + 2*RootSum\1549681956*t  + 1, t -> t*log\1 - 118098*t //
−2RootSum⁡(1549681956t9+1,(t↦tlog⁡(−118098t5)))+2RootSum⁡(1549681956t9+1,(t↦tlog⁡(1−118098t5)))- 2 \operatorname{RootSum} {\left(1549681956 t^{9} + 1, \left( t \mapsto t \log{\left(- 118098 t^{5} \right)} \right)\right)} + 2 \operatorname{RootSum} {\left(1549681956 t^{9} + 1, \left( t \mapsto t \log{\left(1 - 118098 t^{5} \right)} \right)\right)} 
=
= 
           /            9                /         5\\            /            9                /            5\\
- 2*RootSum\1549681956*t  + 1, t -> t*log\-118098*t // + 2*RootSum\1549681956*t  + 1, t -> t*log\1 - 118098*t //
−2RootSum⁡(1549681956t9+1,(t↦tlog⁡(−118098t5)))+2RootSum⁡(1549681956t9+1,(t↦tlog⁡(1−118098t5)))- 2 \operatorname{RootSum} {\left(1549681956 t^{9} + 1, \left( t \mapsto t \log{\left(- 118098 t^{5} \right)} \right)\right)} + 2 \operatorname{RootSum} {\left(1549681956 t^{9} + 1, \left( t \mapsto t \log{\left(1 - 118098 t^{5} \right)} \right)\right)} 
-2*RootSum(1549681956*_t^9 + 1, Lambda(_t, _t*log(-118098*_t^5))) + 2*RootSum(1549681956*_t^9 + 1, Lambda(_t, _t*log(1 - 118098*_t^5)))
Respuesta numérica [src] 
0.8120908901606
0.8120908901606

    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.

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