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x^3-3*x

Integral of x^3-3*x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

    1. The integral of is when :

    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:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                             
 |                        2    4
 | / 3      \          3*x    x 
 | \x  - 3*x/ dx = C - ---- + --
 |                      2     4 
/                               
$$\int \left(x^{3} - 3 x\right)\, dx = C + \frac{x^{4}}{4} - \frac{3 x^{2}}{2}$$
The graph
The answer [src]
-5/4
$$- \frac{5}{4}$$
=
=
-5/4
$$- \frac{5}{4}$$
-5/4
Numerical answer [src]
-1.25
-1.25
The graph
Integral of x^3-3*x dx

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