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Integral of 3x^2-2x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  0                
  /                
 |                 
 |  /   2      \   
 |  \3*x  - 2*x/ dx
 |                 
/                  
-2                 
$$\int\limits_{-2}^{0} \left(3 x^{2} - 2 x\right)\, dx$$
Integral(3*x^2 - 2*x, (x, -2, 0))
Detail solution
  1. Integrate term-by-term:

    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:

    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      \           3    2
 | \3*x  - 2*x/ dx = C + x  - x 
 |                              
/                               
$$\int \left(3 x^{2} - 2 x\right)\, dx = C + x^{3} - x^{2}$$
The graph
The answer [src]
12
$$12$$
=
=
12
$$12$$
12
Numerical answer [src]
12.0
12.0

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