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x*dx/(sqrt(x+1))
Solving integrals/ x*dx/(sqrt(x+1))

You entered:

x*dx/(sqrt(x+1))

What you mean?

x*dx/(sqrt(x + 1))
 
x*dx/(sqrt(x) + 1)
 
x*dx*(x + 1)/(sqrt(x))
 
x*dx/(sqrt(x + 1))
 
x*dx/(sqrt(x) + 1)
 
x*dx*(x + 1)/(sqrt(x))
 
x*dx*(x + 1)/(sqrt(x))

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |          1       
 |  x*1*--------- dx
 |        _______   
 |      \/ x + 1    
 |                  
/                   
0
∫01x1⋅1x+1 dx\int\limits_{0}^{1} x 1 \cdot \frac{1}{\sqrt{x + 1}}\, dx 
Integral(x*1/sqrt(x + 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                 
 |                                               3/2
 |         1                  _______   2*(1 + x)   
 | x*1*--------- dx = C - 2*\/ 1 + x  + ------------
 |       _______                             3      
 |     \/ x + 1                                     
 |                                                  
/
2 (x+1)323−2 x+1{{2\,\left(x+1\right)^{{{3}\over{2}}}}\over{3}}-2\,\sqrt{x+1}
Simplify
The graph
3.08.03.54.04.55.05.56.06.57.07.5020
Plot the graph f(x)
The answer [src] 
        ___
4   2*\/ 2 
- - -------
3      3
43−2323{{4}\over{3}}-{{2^{{{3}\over{2}}}}\over{3}} 
=
= 
        ___
4   2*\/ 2 
- - -------
3      3
−223+43- \frac{2 \sqrt{2}}{3} + \frac{4}{3}
Simplify
Numerical answer [src] 
0.39052429175127
0.39052429175127
The graph
Integral of x*dx/(sqrt(x+1)) dx

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

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