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1/x^(1/2)

Integral of 1/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. Let .

    Then let and substitute :

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of a constant is the constant times the variable of integration:

      So, the result is:

    Now substitute back in:

  2. Add the constant of integration:


The answer is:

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

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