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-x^3
Solving integrals/ -x^3

Integral of -x^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1       
  /       
 |        
 |    3   
 |  -x  dx
 |        
/         
0
$$\int\limits_{0}^{1} \left(- x^{3}\right)\, dx$$ 
Integral(-x^3, (x, 0, 1))
Detail solution

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

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /               
 |               4
 |   3          x 
 | -x  dx = C - --
 |              4 
/
$$\int \left(- x^{3}\right)\, dx = C - \frac{x^{4}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-1/4
$$- \frac{1}{4}$$ 
=
= 
-1/4
$$- \frac{1}{4}$$ 
-1/4
Numerical answer [src] 
-0.25
-0.25
The graph
Integral of -x^3 dx

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

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