Mister Exam

Other calculators


x^3-3*x^2

Integral of x^3-3*x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  2               
  /               
 |                
 |  / 3      2\   
 |  \x  - 3*x / dx
 |                
/                 
0                 
$$\int\limits_{0}^{2} \left(x^{3} - 3 x^{2}\right)\, dx$$
Integral(x^3 - 3*x^2, (x, 0, 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 a constant times a function is the constant times the integral of the function:

        1. The integral of is when :

        So, the result is:

      So, the result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                            
 |                            4
 | / 3      2\           3   x 
 | \x  - 3*x / dx = C - x  + --
 |                           4 
/                              
$${{x^4}\over{4}}-x^3$$
The graph
The answer [src]
-4
$$-4$$
=
=
-4
$$-4$$
Numerical answer [src]
-4.0
-4.0
The graph
Integral of x^3-3*x^2 dx

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