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Solving integrals/ 3/5x-1/5

Integral of 3/5x-1/5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |  /3*x   1\   
 |  |--- - -| dx
 |  \ 5    5/   
 |              
/               
0
$$\int\limits_{0}^{1} \left(\frac{3 x}{5} - \frac{1}{5}\right)\, dx$$ 
Integral(3*x/5 - 1/5, (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
 | /3*x   1\          x   3*x 
 | |--- - -| dx = C - - + ----
 | \ 5    5/          5    10 
 |                            
/
$$\int \left(\frac{3 x}{5} - \frac{1}{5}\right)\, dx = C + \frac{3 x^{2}}{10} - \frac{x}{5}$$
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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