Sr Examen

Otras calculadoras

Resolución de integrales/ x^0.5/ (11x-x^0.5)^15

Integral de (11x-x^0.5)^15 dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                    
  /                    
 |                     
 |                15   
 |  /         ___\     
 |  \11*x - \/ x /   dx
 |                     
/                      
0
∫01(−x+11x)15 dx\int\limits_{0}^{1} \left(- \sqrt{x} + 11 x\right)^{15}\, dx 
Integral((11*x - sqrt(x))^15, (x, 0, 1))
Respuesta (Indefinida) [src] 
  /                                                                                                                                                                                                                                                                                                                             
 |                                                                                                                                                                                                                                                                                                                              
 |               15                                                                                                     31/2                     29/2                   27/2                 25/2                23/2          19/2      17/2       9           10                12                   14                     16
 | /         ___\                     21/2             11                 13                    15   11392495007497230*x       2855969822816110*x       51926724051202*x       551759759694*x       17733325610*x       25410*x       2*x       55*x    121121*x     41799981795*x     55635775769145*x     4177248169415651*x  
 | \11*x - \/ x /   dx = C - 1903330*x     + 43966923*x   + 907809861035*x   + 241658985007517*x   - ----------------------- - ---------------------- - -------------------- - ------------------ - ----------------- - ----------- - ------- + ----- + ---------- + --------------- + ------------------ + --------------------
 |                                                                                                              31                       29                      9                     5                    23               19          17       3         2               4                  2                     16         
/
∫(−x+11x)15 dx=C−11392495007497230x31231−2855969822816110x29229−51926724051202x2729−551759759694x2525−17733325610x23223−1903330x212−25410x19219−2x17217+4177248169415651x1616+241658985007517x15+55635775769145x142+907809861035x13+41799981795x124+43966923x11+121121x102+55x93\int \left(- \sqrt{x} + 11 x\right)^{15}\, dx = C - \frac{11392495007497230 x^{\frac{31}{2}}}{31} - \frac{2855969822816110 x^{\frac{29}{2}}}{29} - \frac{51926724051202 x^{\frac{27}{2}}}{9} - \frac{551759759694 x^{\frac{25}{2}}}{5} - \frac{17733325610 x^{\frac{23}{2}}}{23} - 1903330 x^{\frac{21}{2}} - \frac{25410 x^{\frac{19}{2}}}{19} - \frac{2 x^{\frac{17}{2}}}{17} + \frac{4177248169415651 x^{16}}{16} + 241658985007517 x^{15} + \frac{55635775769145 x^{14}}{2} + 907809861035 x^{13} + \frac{41799981795 x^{12}}{4} + 43966923 x^{11} + \frac{121121 x^{10}}{2} + \frac{55 x^{9}}{3}
Simplificar
Respuesta numérica [src] 
59610869508435.6
59610869508435.6

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

    © Sr Examen – Калькулятор