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Resolución de integrales/ 1/x+1/ 2*(1/x+1)^(13/2)

Integral de 2*(1/x+1)^(13/2) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  5                 
  /                 
 |                  
 |           13/2   
 |    /1    \       
 |  2*|- + 1|     dx
 |    \x    /       
 |                  
/                   
1
∫152(1+1x)132 dx\int\limits_{1}^{5} 2 \left(1 + \frac{1}{x}\right)^{\frac{13}{2}}\, dx 
Integral(2*(1/x + 1)^(13/2), (x, 1, 5))
Respuesta (Indefinida) [src] 
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             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 |          13/2                 _______             3/2         /         _______\                          /        _______\                                               15/2                                                                                    13/2                                                                                    17/2                                                                                    11/2                                                                                    19/2                                                                                                                      _______                                                                                               _______                                                            _______                                                                                   9/2                                                                                    21/2                                                 _______               5/2                 7/2                                                  7/2                                          13/2                                                                                                  11/2                                                                                                                                                           31/2                                                                                                    9/2                                           11/2                                                                                                  13/2                                                                                                                                                           29/2                                                                                                                                                           15/2                                                                                                                                                           27/2                                                                                                                                                           17/2                                                                                                                                                           25/2                                                                                                                                                            19/2                                                                                                                                                           23/2                                                                                                                                                           21/2                                                                                                                                                       5   _______                                                                                                                                                    6   _______                                                                                                                                                    4   _______                                                                                                                                                    7   _______                                                                                                                                                    3   _______                                                                                                                                                    8   _______                                                                                                                                                   10   _______                                                                                                                                                   11   _______                                                                                                                                                    9   _______                                                                                                                                                    2   _______                                                                                                                                                   12   _______                                                                                                                                                   13   _______                                                                                                                 3   _______                                                                             4   _______                                                                             2   _______                                                                                                                   _______                                                                                                                     _______                                                                                                                14   _______                                                                                                                5   _______                                                        2   _______                                       _______                                   3   _______                                   5   _______                                   4   _______                                                                                          15   _______                                                                                            6   _______                         _______         2   _______          3   _______                                          10   _______                                                                             9   _______                                                                             6   _______                                                                             8   _______                                                                             7   _______                                  
 |   /1    \                    /     1       /    1\            |        /     1 |          /  ___\         |       /     1 |                                         7680*x                                                                                  5760*x                                                                                  5760*x                                                                                  2304*x                                                                                  2304*x                                                                                                                   1260*\/ 1 + x                                                                                          900*\/ 1 + x                                                       840*\/ 1 + x                                                                               384*x                                                                                  384*x                                               240*\/ 1 + x           160*x               160*x              ___   _______                     480*x                                        480*x                                                                                                 512*x                                                                                                                                                          512*x                                                                                                  1440*x                                        1440*x                                                                                                5120*x                                                                                                                                                         5120*x                                                                                                                                                        23040*x                                                                                                                                                        23040*x                                                                                                                                                        61440*x                                                                                                                                                        61440*x                                                                                                                                                        107520*x                                                                                                                                                       107520*x                                                                                                                                                       129024*x                                                                                                                                                   334312*x *\/ 1 + x                                                                                                                                             282920*x *\/ 1 + x                                                                                                                                             275864*x *\/ 1 + x                                                                                                                                             172920*x *\/ 1 + x                                                                                                                                             156092*x *\/ 1 + x                                                                                                                                              95964*x *\/ 1 + x                                                                                                                                             93764*x  *\/ 1 + x                                                                                                                                             83980*x  *\/ 1 + x                                                                                                                                              83028*x *\/ 1 + x                                                                                                                                              57940*x *\/ 1 + x                                                                                                                                             51680*x  *\/ 1 + x                                                                                                                                             20672*x  *\/ 1 + x                                                                                                           17928*x *\/ 1 + x                                                                       13608*x *\/ 1 + x                                                                       13176*x *\/ 1 + x                                                                                                          12740*x*\/ 1 + x                                                                                                             5160*x*\/ 1 + x                                                                                                           4864*x  *\/ 1 + x                                                                                                           4536*x *\/ 1 + x                                                   3000*x *\/ 1 + x                               2880*x*\/ 1 + x                              1200*x *\/ 1 + x                              1200*x *\/ 1 + x                               900*x *\/ 1 + x                                                                                      512*x  *\/ 1 + x                                                                                        480*x *\/ 1 + x                  320*x*\/ 1 + x      80*x *\/ 1 + x      160*x *\/ 1 + x                                      384*x  *\/ 1 + x                                                                        2112*x *\/ 1 + x                                                                        2520*x *\/ 1 + x                                                                        4752*x *\/ 1 + x                                                                        5544*x *\/ 1 + x                                   
 | 2*|- + 1|     dx = C - 24*  /  1 + -  - 20*|1 + -|    - 12*log|-1 +   /  1 + - | + 2*asinh\\/ x / + 12*log|1 +   /  1 + - | - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------- - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ----------------- - ----------------- - ----------------- + 2*\/ x *\/ 1 + x  + ------------------------------------------- + ------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------- + ------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------- - ------------------------------------------- - ------------------------------------------- - ------------------------------------------- - ------------------------------------------- - ------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------- - ----------------- + ----------------- + ----------------- + ------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------
 |   \x    /                 \/       x       \    x/            \     \/       x /                          \    \/       x /        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2        7/2        13/2        9/2        11/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2       5/2       7/2       5/2       7/2       5/2       7/2                            7/2        13/2        9/2        11/2        7/2        13/2        9/2        11/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2        7/2        13/2        9/2        11/2        7/2        13/2        9/2        11/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        7/2        13/2        9/2        11/2        7/2        13/2        9/2        11/2        7/2        13/2        9/2        11/2        7/2        13/2        9/2        11/2        7/2        13/2        9/2        11/2         11/2         31/2          13/2          29/2           15/2           27/2           17/2           25/2           19/2           23/2           21/2        7/2        13/2        9/2        11/2       5/2       7/2       5/2       7/2       5/2       7/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2        9/2        21/2         11/2         19/2         13/2         17/2         15/2
 |                                                                                                                               315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       105*x    + 105*x     + 315*x    + 315*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       15*x    + 15*x      15*x    + 15*x      15*x    + 15*x                          105*x    + 105*x     + 315*x    + 315*x       105*x    + 105*x     + 315*x    + 315*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       105*x    + 105*x     + 315*x    + 315*x       105*x    + 105*x     + 315*x    + 315*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       3465*x     + 3465*x     + 34650*x     + 34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       315*x    + 315*x     + 1890*x   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34650*x     + 155925*x     + 155925*x     + 415800*x     + 415800*x     + 727650*x     + 727650*x     + 873180*x       105*x    + 105*x     + 315*x    + 315*x       15*x    + 15*x      15*x    + 15*x      15*x    + 15*x      315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x       315*x    + 315*x     + 1890*x     + 1890*x     + 4725*x     + 4725*x     + 6300*x    
/
∫2(1+1x)132 dx=C+512x3123465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+5120x2923465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+23040x2723465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+61440x2523465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+107520x2323465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+129024x2123465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−384x212315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92+107520x1923465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−2304x192315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92+61440x1723465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−5760x172315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92+23040x1523465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−7680x152315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92+5120x1323465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−5760x132315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92+480x132105x132+315x112+315x92+105x72+512x1123465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−2304x112315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92+1440x112105x132+315x112+315x92+105x72−384x92315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92+1440x92105x132+315x112+315x92+105x72+480x72105x132+315x112+315x92+105x72−160x7215x72+15x52−160x5215x72+15x52+2xx+1−512x15x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−4864x14x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−20672x13x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−51680x12x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−83980x11x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−93764x10x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+384x10x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−83028x9x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+2112x9x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−95964x8x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+4752x8x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−172920x7x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+5544x7x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−282920x6x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112+2520x6x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−480x6x+1105x132+315x112+315x92+105x72−334312x5x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−4536x5x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−1200x5x+1105x132+315x112+315x92+105x72−275864x4x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−13608x4x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−900x4x+1105x132+315x112+315x92+105x72−156092x3x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−17928x3x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−1200x3x+1105x132+315x112+315x92+105x72+160x3x+115x72+15x52−57940x2x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−13176x2x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−3000x2x+1105x132+315x112+315x92+105x72+80x2x+115x72+15x52−12740xx+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−5160xx+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−2880xx+1105x132+315x112+315x92+105x72−320xx+115x72+15x52−20(1+1x)32−241+1x−1260x+13465x312+34650x292+155925x272+415800x252+727650x232+873180x212+727650x192+415800x172+155925x152+34650x132+3465x112−840x+1315x212+1890x192+4725x172+6300x152+4725x132+1890x112+315x92−900x+1105x132+315x112+315x92+105x72−240x+115x72+15x52−12log⁡(1+1x−1)+12log⁡(1+1x+1)+2asinh⁡(x)\int 2 \left(1 + \frac{1}{x}\right)^{\frac{13}{2}}\, dx = C + \frac{512 x^{\frac{31}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{5120 x^{\frac{29}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{23040 x^{\frac{27}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{61440 x^{\frac{25}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{107520 x^{\frac{23}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{129024 x^{\frac{21}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{384 x^{\frac{21}{2}}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} + \frac{107520 x^{\frac{19}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{2304 x^{\frac{19}{2}}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} + \frac{61440 x^{\frac{17}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{5760 x^{\frac{17}{2}}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} + \frac{23040 x^{\frac{15}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{7680 x^{\frac{15}{2}}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} + \frac{5120 x^{\frac{13}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{5760 x^{\frac{13}{2}}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} + \frac{480 x^{\frac{13}{2}}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} + \frac{512 x^{\frac{11}{2}}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{2304 x^{\frac{11}{2}}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} + \frac{1440 x^{\frac{11}{2}}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} - \frac{384 x^{\frac{9}{2}}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} + \frac{1440 x^{\frac{9}{2}}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} + \frac{480 x^{\frac{7}{2}}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} - \frac{160 x^{\frac{7}{2}}}{15 x^{\frac{7}{2}} + 15 x^{\frac{5}{2}}} - \frac{160 x^{\frac{5}{2}}}{15 x^{\frac{7}{2}} + 15 x^{\frac{5}{2}}} + 2 \sqrt{x} \sqrt{x + 1} - \frac{512 x^{15} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{4864 x^{14} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{20672 x^{13} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{51680 x^{12} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{83980 x^{11} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{93764 x^{10} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{384 x^{10} \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{83028 x^{9} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{2112 x^{9} \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{95964 x^{8} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{4752 x^{8} \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{172920 x^{7} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{5544 x^{7} \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{282920 x^{6} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} + \frac{2520 x^{6} \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{480 x^{6} \sqrt{x + 1}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} - \frac{334312 x^{5} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{4536 x^{5} \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{1200 x^{5} \sqrt{x + 1}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} - \frac{275864 x^{4} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{13608 x^{4} \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{900 x^{4} \sqrt{x + 1}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} - \frac{156092 x^{3} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{17928 x^{3} \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{1200 x^{3} \sqrt{x + 1}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} + \frac{160 x^{3} \sqrt{x + 1}}{15 x^{\frac{7}{2}} + 15 x^{\frac{5}{2}}} - \frac{57940 x^{2} \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{13176 x^{2} \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{3000 x^{2} \sqrt{x + 1}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} + \frac{80 x^{2} \sqrt{x + 1}}{15 x^{\frac{7}{2}} + 15 x^{\frac{5}{2}}} - \frac{12740 x \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{5160 x \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{2880 x \sqrt{x + 1}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} - \frac{320 x \sqrt{x + 1}}{15 x^{\frac{7}{2}} + 15 x^{\frac{5}{2}}} - 20 \left(1 + \frac{1}{x}\right)^{\frac{3}{2}} - 24 \sqrt{1 + \frac{1}{x}} - \frac{1260 \sqrt{x + 1}}{3465 x^{\frac{31}{2}} + 34650 x^{\frac{29}{2}} + 155925 x^{\frac{27}{2}} + 415800 x^{\frac{25}{2}} + 727650 x^{\frac{23}{2}} + 873180 x^{\frac{21}{2}} + 727650 x^{\frac{19}{2}} + 415800 x^{\frac{17}{2}} + 155925 x^{\frac{15}{2}} + 34650 x^{\frac{13}{2}} + 3465 x^{\frac{11}{2}}} - \frac{840 \sqrt{x + 1}}{315 x^{\frac{21}{2}} + 1890 x^{\frac{19}{2}} + 4725 x^{\frac{17}{2}} + 6300 x^{\frac{15}{2}} + 4725 x^{\frac{13}{2}} + 1890 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}}} - \frac{900 \sqrt{x + 1}}{105 x^{\frac{13}{2}} + 315 x^{\frac{11}{2}} + 315 x^{\frac{9}{2}} + 105 x^{\frac{7}{2}}} - \frac{240 \sqrt{x + 1}}{15 x^{\frac{7}{2}} + 15 x^{\frac{5}{2}}} - 12 \log{\left(\sqrt{1 + \frac{1}{x}} - 1 \right)} + 12 \log{\left(\sqrt{1 + \frac{1}{x}} + 1 \right)} + 2 \operatorname{asinh}{\left(\sqrt{x} \right)}
Simplificar
Respuesta numérica [src] 
105.873243970637
105.873243970637

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

    © Sr Examen – Калькулятор