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Integral of 4/sqrt(x) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
 25         
  /         
 |          
 |    4     
 |  ----- dx
 |    ___   
 |  \/ x    
 |          
/           
9           
$$\int\limits_{9}^{25} \frac{4}{\sqrt{x}}\, dx$$
Integral(4/sqrt(x), (x, 9, 25))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    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:

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                      
 |                       
 |   4                ___
 | ----- dx = C + 8*\/ x 
 |   ___                 
 | \/ x                  
 |                       
/                        
$$\int \frac{4}{\sqrt{x}}\, dx = C + 8 \sqrt{x}$$
The graph
The answer [src]
16
$$16$$
=
=
16
$$16$$
16
Numerical answer [src]
16.0
16.0

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