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2x^3-6x^2-4x

Integral of 2x^3-6x^2-4x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1                       
  /                       
 |                        
 |  /   3      2      \   
 |  \2*x  - 6*x  - 4*x/ dx
 |                        
/                         
0                         
$$\int\limits_{0}^{1} \left(- 4 x + \left(2 x^{3} - 6 x^{2}\right)\right)\, dx$$
Integral(2*x^3 - 6*x^2 - 4*x, (x, 0, 1))
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. 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:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                             
 |                               4              
 | /   3      2      \          x       2      3
 | \2*x  - 6*x  - 4*x/ dx = C + -- - 2*x  - 2*x 
 |                              2               
/                                               
$$\int \left(- 4 x + \left(2 x^{3} - 6 x^{2}\right)\right)\, dx = C + \frac{x^{4}}{2} - 2 x^{3} - 2 x^{2}$$
The graph
The answer [src]
-7/2
$$- \frac{7}{2}$$
=
=
-7/2
$$- \frac{7}{2}$$
-7/2
Numerical answer [src]
-3.5
-3.5
The graph
Integral of 2x^3-6x^2-4x dx

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