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x^(-3/2)
Solving integrals/ x^(-3/2)

Integral of x^(-3/2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   1     
 |  ---- dx
 |   3/2   
 |  x      
 |         
/          
0
$$\int\limits_{0}^{1} \frac{1}{x^{\frac{3}{2}}}\, dx$$ 
Integral(x^(-3/2), (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              2  
 | ---- dx = C - -----
 |  3/2            ___
 | x             \/ x 
 |                    
/
$$\int \frac{1}{x^{\frac{3}{2}}}\, dx = C - \frac{2}{\sqrt{x}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
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$$\infty$$ 
=
= 
oo
$$\infty$$ 
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Numerical answer [src] 
7464448597.65649
7464448597.65649
The graph
Integral of x^(-3/2) dx

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

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