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Integral of -24x^3-6x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                   
  /                   
 |                    
 |  /      3      \   
 |  \- 24*x  - 6*x/ dx
 |                    
/                     
0                     
$$\int\limits_{0}^{1} \left(- 24 x^{3} - 6 x\right)\, dx$$
Integral(-24*x^3 - 6*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. 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]
  /                                    
 |                                     
 | /      3      \             4      2
 | \- 24*x  - 6*x/ dx = C - 6*x  - 3*x 
 |                                     
/                                      
$$-6\,x^4-3\,x^2$$
The graph
The answer [src]
-9
$$-9$$
=
=
-9
$$-9$$
Numerical answer [src]
-9.0
-9.0

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