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Integral of √(x⁴+4*x⁶)dx 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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 |     ___________     
 |    /  4      6      
 |  \/  x  + 4*x  *1 dx
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$$\int\limits_{0}^{1} \sqrt{4 x^{6} + x^{4}} \cdot 1\, dx$$
Integral(sqrt(x^4 + 4*x^6)*1, (x, 0, 1))
The answer (Indefinite) [src]
$$-{{{\rm asinh}\; \left(2\,x\right)}\over{64}}+{{x\,\left(4\,x^2+1 \right)^{{{3}\over{2}}}}\over{16}}-{{x\,\sqrt{4\,x^2+1}}\over{32}}$$
The answer [src]
                 ___
  asinh(2)   9*\/ 5 
- -------- + -------
     64         32  
$$-{{{\rm asinh}\; 2-18\,\sqrt{5}}\over{64}}$$
=
=
                 ___
  asinh(2)   9*\/ 5 
- -------- + -------
     64         32  
$$- \frac{\operatorname{asinh}{\left(2 \right)}}{64} + \frac{9 \sqrt{5}}{32}$$
Numerical answer [src]
0.606337314372147
0.606337314372147

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