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Integral of 12*x^2 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  2         
  /         
 |          
 |      2   
 |  12*x  dx
 |          
/           
-1          
$$\int\limits_{-1}^{2} 12 x^{2}\, dx$$
Integral(12*x^2, (x, -1, 2))
Detail solution
  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:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                   
 |                    
 |     2             3
 | 12*x  dx = C + 4*x 
 |                    
/                     
$$\int 12 x^{2}\, dx = C + 4 x^{3}$$
The graph
The answer [src]
36
$$36$$
=
=
36
$$36$$
36
Numerical answer [src]
36.0
36.0

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