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Integral of (1/cbrt(x)+sqrt(x))^2 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1                    
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01(x+1x3)2dx\int\limits_{0}^{1} \left(\sqrt{x} + \frac{1}{\sqrt[3]{x}}\right)^{2}\, dx
Integral((1/(x^(1/3)) + sqrt(x))^2, (x, 0, 1))
The answer (Indefinite) [src]
  /                                                
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 |                2           2                 7/6
 | /  1       ___\           x      3 ___   12*x   
 | |----- + \/ x |  dx = C + -- + 3*\/ x  + -------
 | |3 ___        |           2                 7   
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(x+1x3)2dx=C+12x767+3x3+x22\int \left(\sqrt{x} + \frac{1}{\sqrt[3]{x}}\right)^{2}\, dx = C + \frac{12 x^{\frac{7}{6}}}{7} + 3 \sqrt[3]{x} + \frac{x^{2}}{2}
The graph
0.001.000.100.200.300.400.500.600.700.800.900500
The answer [src]
73
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14
7314\frac{73}{14}
=
=
73
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14
7314\frac{73}{14}
73/14
Numerical answer [src]
5.21428447430061
5.21428447430061

    Use the examples entering the upper and lower limits of integration.