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x/(sqrt(3x^2+5))
Solving integrals/ x/(sqrt(3x^2+5))

Integral of x/(sqrt(3x^2+5)) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |        x         
 |  ------------- dx
 |     __________   
 |    /    2        
 |  \/  3*x  + 5    
 |                  
/                   
0
∫01x3x2+5 dx\int\limits_{0}^{1} \frac{x}{\sqrt{3 x^{2} + 5}}\, dx
Simplify
The answer (Indefinite) [src] 
  /                          __________
 |                          /        2 
 |       x                \/  5 + 3*x  
 | ------------- dx = C + -------------
 |    __________                3      
 |   /    2                            
 | \/  3*x  + 5                        
 |                                     
/
3 x2+53{{\sqrt{3\,x^2+5}}\over{3}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9001
Plot the graph f(x)
The answer [src] 
    ___       ___
  \/ 5    2*\/ 2 
- ----- + -------
    3        3
2323−53{{2^{{{3}\over{2}}}}\over{3}}-{{\sqrt{5}}\over{3}} 
=
= 
    ___       ___
  \/ 5    2*\/ 2 
- ----- + -------
    3        3
−53+223- \frac{\sqrt{5}}{3} + \frac{2 \sqrt{2}}{3}
Simplify
Numerical answer [src] 
0.197453049082133
0.197453049082133
The graph
Integral of x/(sqrt(3x^2+5)) dx

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

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