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1/3x
Solving integrals/ 1/3x

Integral of 1/3x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1     
  /     
 |      
 |  x   
 |  - dx
 |  3   
 |      
/       
0
$$\int\limits_{0}^{1} \frac{x}{3}\, dx$$ 
Integral(x/3, (x, 0, 1))
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
 | x          x 
 | - dx = C + --
 | 3          6 
 |              
/
$$\int \frac{x}{3}\, dx = C + \frac{x^{2}}{6}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/6
$$\frac{1}{6}$$ 
=
= 
1/6
$$\frac{1}{6}$$ 
1/6
Numerical answer [src] 
0.166666666666667
0.166666666666667
The graph
Integral of 1/3x dx

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

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