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Resolución de integrales/ x^(1/4)/ cbrt(1+x^(1/4))

Integral de cbrt(1+x^(1/4)) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
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0
∫01x4+13 dx\int\limits_{0}^{1} \sqrt[3]{\sqrt[4]{x} + 1}\, dx 
Integral((1 + x^(1/4))^(1/3), (x, 0, 1))
Respuesta (Indefinida) [src] 
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 |    ___________                                                    4                                                                               11/2                                                                               17/4                                                                              21/4                                                                               5                                                                                9/2                                                                               19/4                                                                      19/4 3 /     4 ___                                                                 9/2 3 /     4 ___                                                                  5 3 /     4 ___                                                                 17/4 3 /     4 ___                                                                 4 3 /     4 ___                                                                  13/2 3 /     4 ___                                                                21/4 3 /     4 ___                                                                25/4 3 /     4 ___                                                                  6 3 /     4 ___                                                                 11/2 3 /     4 ___                                                                23/4 3 /     4 ___                            
 | 3 /     4 ___                                                243*x                                                                           243*x                                                                             1458*x                                                                            1458*x                                                                             3645*x                                                                           3645*x                                                                            4860*x                                                                    3927*x    *\/  1 + \/ x                                                            3213*x   *\/  1 + \/ x                                                             2163*x *\/  1 + \/ x                                                            1377*x    *\/  1 + \/ x                                                             243*x *\/  1 + \/ x                                                              420*x    *\/  1 + \/ x                                                           1827*x    *\/  1 + \/ x                                                           2562*x    *\/  1 + \/ x                                                             6498*x *\/  1 + \/ x                                                            6573*x    *\/  1 + \/ x                                                           8787*x    *\/  1 + \/ x                             
 | \/  1 + \/ x   dx = C + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- - ------------------------------------------------------------------------------- - ------------------------------------------------------------------------------- - ------------------------------------------------------------------------------- - ------------------------------------------------------------------------------- - ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + -------------------------------------------------------------------------------
 |                              4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4        4        11/2         17/4         21/4         5         9/2         19/4
/                          455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x       455*x  + 455*x     + 2730*x     + 2730*x     + 6825*x  + 6825*x    + 9100*x
∫x4+13 dx=C+2562x254x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+8787x234x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+1827x214x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+1458x2142730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4−3927x194x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+4860x1942730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4−1377x174x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+1458x1742730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+420x132x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+6573x112x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+243x1122730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4−3213x92x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+3645x922730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+6498x6x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4−2163x5x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+3645x52730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4−243x4x4+132730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4+243x42730x214+9100x194+2730x174+455x112+6825x92+6825x5+455x4\int \sqrt[3]{\sqrt[4]{x} + 1}\, dx = C + \frac{2562 x^{\frac{25}{4}} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{8787 x^{\frac{23}{4}} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{1827 x^{\frac{21}{4}} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{1458 x^{\frac{21}{4}}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} - \frac{3927 x^{\frac{19}{4}} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{4860 x^{\frac{19}{4}}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} - \frac{1377 x^{\frac{17}{4}} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{1458 x^{\frac{17}{4}}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{420 x^{\frac{13}{2}} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{6573 x^{\frac{11}{2}} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{243 x^{\frac{11}{2}}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} - \frac{3213 x^{\frac{9}{2}} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{3645 x^{\frac{9}{2}}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{6498 x^{6} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} - \frac{2163 x^{5} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{3645 x^{5}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} - \frac{243 x^{4} \sqrt[3]{\sqrt[4]{x} + 1}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}} + \frac{243 x^{4}}{2730 x^{\frac{21}{4}} + 9100 x^{\frac{19}{4}} + 2730 x^{\frac{17}{4}} + 455 x^{\frac{11}{2}} + 6825 x^{\frac{9}{2}} + 6825 x^{5} + 455 x^{4}}
Simplificar
Gráfica
0.001.000.100.200.300.400.500.600.700.800.9002
Trazar el gráfico f(x)
Respuesta numérica [src] 
1.21525401818492
1.21525401818492

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

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