Mister Exam

Other calculators

Solving integrals/ √(x⁴+4*x⁶)dx

Integral of √(x⁴+4*x⁶)dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                    
  /                    
 |                     
 |     ___________     
 |    /  4      6      
 |  \/  x  + 4*x  *1 dx
 |                     
/                      
0
∫014x6+x4⋅1 dx\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]
−asinh  (2 x)64+x (4 x2+1)3216−x 4 x2+132-{{{\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}}
Simplify
The answer [src] 
                 ___
  asinh(2)   9*\/ 5 
- -------- + -------
     64         32
−asinh  2−18 564-{{{\rm asinh}\; 2-18\,\sqrt{5}}\over{64}} 
=
= 
                 ___
  asinh(2)   9*\/ 5 
- -------- + -------
     64         32
−asinh⁡(2)64+9532- \frac{\operatorname{asinh}{\left(2 \right)}}{64} + \frac{9 \sqrt{5}}{32}
Упростить
Numerical answer [src] 
0.606337314372147
0.606337314372147

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

    © Mister Exam – Calculator