Mister Exam

Integral of (x³-2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  2              
  /              
 |               
 |  / 3      \   
 |  \x  - 2*x/ dx
 |               
/                
-1               
$$\int\limits_{-1}^{2} \left(x^{3} - 2 x\right)\, dx$$
Integral(x^3 - 2*x, (x, -1, 2))
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. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                           
 |                           4
 | / 3      \           2   x 
 | \x  - 2*x/ dx = C - x  + --
 |                          4 
/                             
$$\int \left(x^{3} - 2 x\right)\, dx = C + \frac{x^{4}}{4} - x^{2}$$
The graph
The answer [src]
3/4
$$\frac{3}{4}$$
=
=
3/4
$$\frac{3}{4}$$
3/4
Numerical answer [src]
0.75
0.75
The graph
Integral of (x³-2x) dx

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