Mister Exam

Other calculators

1/5x
Solving integrals/ 1/5x

Integral of 1/5x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1     
  /     
 |      
 |  x   
 |  - dx
 |  5   
 |      
/       
0
$$\int\limits_{0}^{1} \frac{x}{5}\, dx$$ 
Integral(x/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. 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 + --
 | 5          10
 |              
/
$$\int \frac{x}{5}\, dx = C + \frac{x^{2}}{10}$$
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
The graph
Integral of 1/5x dx

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

    © Mister Exam – Calculator