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x/sqrt(3x+1)
Solving integrals/ x/sqrt(3x+1)

Integral of x/sqrt(3x+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |       x        
 |  ----------- dx
 |    _________   
 |  \/ 3*x + 1    
 |                
/                 
0
$$\int\limits_{0}^{1} \frac{x}{\sqrt{3 x + 1}}\, dx$$ 
Integral(x/(sqrt(3*x + 1)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                   
 |                          _________              3/2
 |      x               2*\/ 1 + 3*x    2*(1 + 3*x)   
 | ----------- dx = C - ------------- + --------------
 |   _________                9               27      
 | \/ 3*x + 1                                         
 |                                                    
/
$${{2\,\left(3\,x+1\right)^{{{3}\over{2}}}}\over{27}}-{{2\,\sqrt{3\,x +1}}\over{9}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
8/27
$${{8}\over{27}}$$ 
=
= 
8/27
$$\frac{8}{27}$$
Simplify
Numerical answer [src] 
0.296296296296296
0.296296296296296
The graph
Integral of x/sqrt(3x+1) dx

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

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