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x^-4
Solving integrals/ x^-4

Integral of x^-4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |  1    
 |  -- dx
 |   4   
 |  x    
 |       
/        
0
$$\int\limits_{0}^{1} \frac{1}{x^{4}}\, dx$$ 
Integral(x^(-4), (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            1  
 | -- dx = C - ----
 |  4             3
 | x           3*x 
 |                 
/
$$\int \frac{1}{x^{4}}\, dx = C - \frac{1}{3 x^{3}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo
Numerical answer [src] 
7.81431122445857e+56
7.81431122445857e+56
The graph
Integral of x^-4 dx

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

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