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x^3-2x^2
Solving integrals/ x^3-2x^2

Integral of x^3-2x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |  / 3      2\   
 |  \x  - 2*x / dx
 |                
/                 
0
$$\int\limits_{0}^{1} \left(x^{3} - 2 x^{2}\right)\, dx$$ 
Integral(x^3 - 2*x^2, (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] 
  /                              
 |                         3    4
 | / 3      2\          2*x    x 
 | \x  - 2*x / dx = C - ---- + --
 |                       3     4 
/
$$\int \left(x^{3} - 2 x^{2}\right)\, dx = C + \frac{x^{4}}{4} - \frac{2 x^{3}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-5/12
$$- \frac{5}{12}$$ 
=
= 
-5/12
$$- \frac{5}{12}$$ 
-5/12
Numerical answer [src] 
-0.416666666666667
-0.416666666666667
The graph
Integral of x^3-2x^2 dx

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

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