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x^(-1/2)
Solving integrals/ x^(-1/2)

Integral of x^(-1/2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |    1     
 |  ----- dx
 |    ___   
 |  \/ x    
 |          
/           
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{x}}\, dx$$ 
Integral(1/sqrt(x), (x, 0, 1))
Detail solution

  1. The integral of is when :

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                      
 |                       
 |   1                ___
 | ----- dx = C + 2*\/ x 
 |   ___                 
 | \/ x                  
 |                       
/
$$\int \frac{1}{\sqrt{x}}\, dx = C + 2 \sqrt{x}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2
$$2$$ 
=
= 
2
$$2$$ 
2
Numerical answer [src] 
1.99999999946942
1.99999999946942
The graph
Integral of x^(-1/2) dx

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

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