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Integral of x^3-8 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  2            
  /            
 |             
 |  / 3    \   
 |  \x  - 8/ dx
 |             
/              
-1             
$$\int\limits_{-1}^{2} \left(x^{3} - 8\right)\, dx$$
Integral(x^3 - 8, (x, -1, 2))
Detail solution
  1. Integrate term-by-term:

    1. The integral of is when :

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                          
 |                          4
 | / 3    \                x 
 | \x  - 8/ dx = C - 8*x + --
 |                         4 
/                            
$$\int \left(x^{3} - 8\right)\, dx = C + \frac{x^{4}}{4} - 8 x$$
The graph
The answer [src]
-81/4
$$- \frac{81}{4}$$
=
=
-81/4
$$- \frac{81}{4}$$
-81/4
Numerical answer [src]
-20.25
-20.25

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