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Solving integrals/ -12*x

Integral of -12*x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 21         
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 |  -12*x dx
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0
$$\int\limits_{0}^{21} \left(- 12 x\right)\, dx$$ 
Integral(-12*x, (x, 0, 21))
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
 | -12*x dx = C - 6*x 
 |                    
/
$$\int \left(- 12 x\right)\, dx = C - 6 x^{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-2646
$$-2646$$ 
=
= 
-2646
$$-2646$$ 
-2646
Numerical answer [src] 
-2646.0
-2646.0

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

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