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Solving integrals/ (x-1)/5

Integral of (x-1)/5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |  x - 1   
 |  ----- dx
 |    5     
 |          
/           
0
$$\int\limits_{0}^{1} \frac{x - 1}{5}\, dx$$ 
Integral((x - 1)/5, (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    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:

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                     
 |                     2
 | x - 1          x   x 
 | ----- dx = C - - + --
 |   5            5   10
 |                      
/
$$\int \frac{x - 1}{5}\, dx = C + \frac{x^{2}}{10} - \frac{x}{5}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-1/10
$$- \frac{1}{10}$$ 
=
= 
-1/10
$$- \frac{1}{10}$$ 
-1/10
Numerical answer [src] 
-0.1
-0.1

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

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