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-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 
/                 
$$\int \left(- x^{3}\right)\, dx = C - \frac{x^{4}}{4}$$
The graph
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.