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Solving integrals/ 1/6x-2

Integral of 1/6x-2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |  /x    \   
 |  |- - 2| dx
 |  \6    /   
 |            
/             
0
$$\int\limits_{0}^{1} \left(\frac{x}{6} - 2\right)\, dx$$ 
Integral(x/6 - 2, (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 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] 
  /                         
 |                         2
 | /x    \                x 
 | |- - 2| dx = C - 2*x + --
 | \6    /                12
 |                          
/
$$\int \left(\frac{x}{6} - 2\right)\, dx = C + \frac{x^{2}}{12} - 2 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-23 
----
 12
$$- \frac{23}{12}$$ 
=
= 
-23 
----
 12
$$- \frac{23}{12}$$ 
-23/12
Numerical answer [src] 
-1.91666666666667
-1.91666666666667

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

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